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Finding the Fourth Proportional to 423,840.29, 635,661.88 and 157,726.13

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Solution

The fourth proportional to 423,840.29, 635,661.88 and 157,726.13 is: 236,552.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,840.29 : 635,661.88 = 157,726.13 : x
  2. Step 2: Convert to fraction form
    423,840.29/635,661.88 = 157,726.13/x
  3. Step 3: Cross multiply
    423,840.29x = 635,661.88 × 157,726.13
  4. Step 4: Simplify right side
    423,840.29x = 100,260,488,320.92
  5. Step 5: Solve for x
    x = 100,260,488,320.92/423,840.29
  6. Step 6: Final answer
    x = 236,552.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.