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Finding the Fourth Proportional to 384,819.80, 577,229.70 and 160,105.55

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Solution

The fourth proportional to 384,819.80, 577,229.70 and 160,105.55 is: 240,158.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,819.80 : 577,229.70 = 160,105.55 : x
  2. Step 2: Convert to fraction form
    384,819.80/577,229.70 = 160,105.55/x
  3. Step 3: Cross multiply
    384,819.80x = 577,229.70 × 160,105.55
  4. Step 4: Simplify right side
    384,819.80x = 92,417,678,594.84
  5. Step 5: Solve for x
    x = 92,417,678,594.84/384,819.80
  6. Step 6: Final answer
    x = 240,158.33

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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.