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Finding the Fourth Proportional to 337,514.90, 506,272.35 and 307,966.10

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Solution

The fourth proportional to 337,514.90, 506,272.35 and 307,966.10 is: 461,949.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,514.90 : 506,272.35 = 307,966.10 : x
  2. Step 2: Convert to fraction form
    337,514.90/506,272.35 = 307,966.10/x
  3. Step 3: Cross multiply
    337,514.90x = 506,272.35 × 307,966.10
  4. Step 4: Simplify right side
    337,514.90x = 155,914,721,167.34
  5. Step 5: Solve for x
    x = 155,914,721,167.34/337,514.90
  6. Step 6: Final answer
    x = 461,949.15

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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.