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Finding the Fourth Proportional to 704,308.16, 971,174.97 and 523,355.78

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Solution

The fourth proportional to 704,308.16, 971,174.97 and 523,355.78 is: 721,658.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,308.16 : 971,174.97 = 523,355.78 : x
  2. Step 2: Convert to fraction form
    704,308.16/971,174.97 = 523,355.78/x
  3. Step 3: Cross multiply
    704,308.16x = 971,174.97 × 523,355.78
  4. Step 4: Simplify right side
    704,308.16x = 508,270,029,084.95
  5. Step 5: Solve for x
    x = 508,270,029,084.95/704,308.16
  6. Step 6: Final answer
    x = 721,658.59

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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.