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Finding the Fourth Proportional to 506,874.25, 759,720.88 and 282,127.20

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Solution

The fourth proportional to 506,874.25, 759,720.88 and 282,127.20 is: 422,862.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,874.25 : 759,720.88 = 282,127.20 : x
  2. Step 2: Convert to fraction form
    506,874.25/759,720.88 = 282,127.20/x
  3. Step 3: Cross multiply
    506,874.25x = 759,720.88 × 282,127.20
  4. Step 4: Simplify right side
    506,874.25x = 214,337,924,655.94
  5. Step 5: Solve for x
    x = 214,337,924,655.94/506,874.25
  6. Step 6: Final answer
    x = 422,862.13

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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.