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Finding the Fourth Proportional to 951,593, 1,313,198.34 and 527,657

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Solution

The fourth proportional to 951,593, 1,313,198.34 and 527,657 is: 728,166.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    951,593 : 1,313,198.34 = 527,657 : x
  2. Step 2: Convert to fraction form
    951,593/1,313,198.34 = 527,657/x
  3. Step 3: Cross multiply
    951,593x = 1,313,198.34 × 527,657
  4. Step 4: Simplify right side
    951,593x = 692,918,296,489.38
  5. Step 5: Solve for x
    x = 692,918,296,489.38/951,593
  6. Step 6: Final answer
    x = 728,166.66

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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.