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Finding the Fourth Proportional to 392,022.80, 588,341.40 and 181,686.80

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Solution

The fourth proportional to 392,022.80, 588,341.40 and 181,686.80 is: 272,672.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,022.80 : 588,341.40 = 181,686.80 : x
  2. Step 2: Convert to fraction form
    392,022.80/588,341.40 = 181,686.80/x
  3. Step 3: Cross multiply
    392,022.80x = 588,341.40 × 181,686.80
  4. Step 4: Simplify right side
    392,022.80x = 106,893,866,273.52
  5. Step 5: Solve for x
    x = 106,893,866,273.52/392,022.80
  6. Step 6: Final answer
    x = 272,672.57

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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.