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Finding the Fourth Proportional to 723,563.47, 998,974.99 and 465,560.38

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Solution

The fourth proportional to 723,563.47, 998,974.99 and 465,560.38 is: 642,767.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,563.47 : 998,974.99 = 465,560.38 : x
  2. Step 2: Convert to fraction form
    723,563.47/998,974.99 = 465,560.38/x
  3. Step 3: Cross multiply
    723,563.47x = 998,974.99 × 465,560.38
  4. Step 4: Simplify right side
    723,563.47x = 465,083,175,954.90
  5. Step 5: Solve for x
    x = 465,083,175,954.90/723,563.47
  6. Step 6: Final answer
    x = 642,767.63

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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.