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Finding the Fourth Proportional to 510,406.80, 704,354.52 and 284,052.24

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Solution

The fourth proportional to 510,406.80, 704,354.52 and 284,052.24 is: 391,988.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,406.80 : 704,354.52 = 284,052.24 : x
  2. Step 2: Convert to fraction form
    510,406.80/704,354.52 = 284,052.24/x
  3. Step 3: Cross multiply
    510,406.80x = 704,354.52 × 284,052.24
  4. Step 4: Simplify right side
    510,406.80x = 200,073,479,160.13
  5. Step 5: Solve for x
    x = 200,073,479,160.13/510,406.80
  6. Step 6: Final answer
    x = 391,988.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.