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Finding the Fourth Proportional to 474,658.88, 712,104.98 and 142,234.88

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Solution

The fourth proportional to 474,658.88, 712,104.98 and 142,234.88 is: 213,387.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,658.88 : 712,104.98 = 142,234.88 : x
  2. Step 2: Convert to fraction form
    474,658.88/712,104.98 = 142,234.88/x
  3. Step 3: Cross multiply
    474,658.88x = 712,104.98 × 142,234.88
  4. Step 4: Simplify right side
    474,658.88x = 101,286,162,106.00
  5. Step 5: Solve for x
    x = 101,286,162,106.00/474,658.88
  6. Step 6: Final answer
    x = 213,387.27

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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.