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Finding the Fourth Proportional to 704,306.66, 971,172.90 and 523,354.28

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Solution

The fourth proportional to 704,306.66, 971,172.90 and 523,354.28 is: 721,656.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,306.66 : 971,172.90 = 523,354.28 : x
  2. Step 2: Convert to fraction form
    704,306.66/971,172.90 = 523,354.28/x
  3. Step 3: Cross multiply
    704,306.66x = 971,172.90 × 523,354.28
  4. Step 4: Simplify right side
    704,306.66x = 508,267,488,979.15
  5. Step 5: Solve for x
    x = 508,267,488,979.15/704,306.66
  6. Step 6: Final answer
    x = 721,656.52

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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.