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Finding the Fourth Proportional to 466,726.24, 644,954.16 and 381,812.32

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Solution

The fourth proportional to 466,726.24, 644,954.16 and 381,812.32 is: 527,614.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,726.24 : 644,954.16 = 381,812.32 : x
  2. Step 2: Convert to fraction form
    466,726.24/644,954.16 = 381,812.32/x
  3. Step 3: Cross multiply
    466,726.24x = 644,954.16 × 381,812.32
  4. Step 4: Simplify right side
    466,726.24x = 246,251,444,123.25
  5. Step 5: Solve for x
    x = 246,251,444,123.25/466,726.24
  6. Step 6: Final answer
    x = 527,614.31

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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.