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Finding the Fourth Proportional to 392,209.46, 588,322.38 and 111,726.71

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Solution

The fourth proportional to 392,209.46, 588,322.38 and 111,726.71 is: 167,592.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,209.46 : 588,322.38 = 111,726.71 : x
  2. Step 2: Convert to fraction form
    392,209.46/588,322.38 = 111,726.71/x
  3. Step 3: Cross multiply
    392,209.46x = 588,322.38 × 111,726.71
  4. Step 4: Simplify right side
    392,209.46x = 65,731,323,936.77
  5. Step 5: Solve for x
    x = 65,731,323,936.77/392,209.46
  6. Step 6: Final answer
    x = 167,592.40

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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.