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Finding the Fourth Proportional to 392,101.84, 588,211.08 and 181,761.04

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Solution

The fourth proportional to 392,101.84, 588,211.08 and 181,761.04 is: 272,668.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,101.84 : 588,211.08 = 181,761.04 : x
  2. Step 2: Convert to fraction form
    392,101.84/588,211.08 = 181,761.04/x
  3. Step 3: Cross multiply
    392,101.84x = 588,211.08 × 181,761.04
  4. Step 4: Simplify right side
    392,101.84x = 106,913,857,640.32
  5. Step 5: Solve for x
    x = 106,913,857,640.32/392,101.84
  6. Step 6: Final answer
    x = 272,668.59

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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.