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Finding the Fourth Proportional to 392,043.12, 588,326.85 and 167,456.04

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Solution

The fourth proportional to 392,043.12, 588,326.85 and 167,456.04 is: 251,296.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,043.12 : 588,326.85 = 167,456.04 : x
  2. Step 2: Convert to fraction form
    392,043.12/588,326.85 = 167,456.04/x
  3. Step 3: Cross multiply
    392,043.12x = 588,326.85 × 167,456.04
  4. Step 4: Simplify right side
    392,043.12x = 98,518,884,526.67
  5. Step 5: Solve for x
    x = 98,518,884,526.67/392,043.12
  6. Step 6: Final answer
    x = 251,296.04

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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.