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Finding the Fourth Proportional to 392,674.83, 588,467.30 and 178,920.36

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Solution

The fourth proportional to 392,674.83, 588,467.30 and 178,920.36 is: 268,132.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,674.83 : 588,467.30 = 178,920.36 : x
  2. Step 2: Convert to fraction form
    392,674.83/588,467.30 = 178,920.36/x
  3. Step 3: Cross multiply
    392,674.83x = 588,467.30 × 178,920.36
  4. Step 4: Simplify right side
    392,674.83x = 105,288,781,164.23
  5. Step 5: Solve for x
    x = 105,288,781,164.23/392,674.83
  6. Step 6: Final answer
    x = 268,132.24

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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.