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Finding the Fourth Proportional to 463,431.10, 695,146.65 and 197,200.30

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Solution

The fourth proportional to 463,431.10, 695,146.65 and 197,200.30 is: 295,800.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,431.10 : 695,146.65 = 197,200.30 : x
  2. Step 2: Convert to fraction form
    463,431.10/695,146.65 = 197,200.30/x
  3. Step 3: Cross multiply
    463,431.10x = 695,146.65 × 197,200.30
  4. Step 4: Simplify right side
    463,431.10x = 137,083,127,924.00
  5. Step 5: Solve for x
    x = 137,083,127,924.00/463,431.10
  6. Step 6: Final answer
    x = 295,800.45

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Double scale
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Similar ratio
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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.