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Finding the Fourth Proportional to 391,726.49, 537,061.97 and 384,640.61

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Solution

The fourth proportional to 391,726.49, 537,061.97 and 384,640.61 is: 527,347.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,726.49 : 537,061.97 = 384,640.61 : x
  2. Step 2: Convert to fraction form
    391,726.49/537,061.97 = 384,640.61/x
  3. Step 3: Cross multiply
    391,726.49x = 537,061.97 × 384,640.61
  4. Step 4: Simplify right side
    391,726.49x = 206,575,846,052.86
  5. Step 5: Solve for x
    x = 206,575,846,052.86/391,726.49
  6. Step 6: Final answer
    x = 527,347.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.