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Finding the Fourth Proportional to 546,098.30, 819,147.45 and 309,902.30

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Solution

The fourth proportional to 546,098.30, 819,147.45 and 309,902.30 is: 464,853.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,098.30 : 819,147.45 = 309,902.30 : x
  2. Step 2: Convert to fraction form
    546,098.30/819,147.45 = 309,902.30/x
  3. Step 3: Cross multiply
    546,098.30x = 819,147.45 × 309,902.30
  4. Step 4: Simplify right side
    546,098.30x = 253,855,678,794.14
  5. Step 5: Solve for x
    x = 253,855,678,794.14/546,098.30
  6. Step 6: Final answer
    x = 464,853.45

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Half scale
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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.