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Finding the Fourth Proportional to 309,000.30, 463,500.45 and 190,902.30

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Solution

The fourth proportional to 309,000.30, 463,500.45 and 190,902.30 is: 286,353.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,000.30 : 463,500.45 = 190,902.30 : x
  2. Step 2: Convert to fraction form
    309,000.30/463,500.45 = 190,902.30/x
  3. Step 3: Cross multiply
    309,000.30x = 463,500.45 × 190,902.30
  4. Step 4: Simplify right side
    309,000.30x = 88,483,301,956.04
  5. Step 5: Solve for x
    x = 88,483,301,956.04/309,000.30
  6. Step 6: Final answer
    x = 286,353.45

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Half scale
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Double scale
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Similar ratio
Find fourth proportional to 463,500.45, 695,250.68 and 286,353.45
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.