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Finding the Fourth Proportional to 577,462.24, 866,237.10 and 156,770.92

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Solution

The fourth proportional to 577,462.24, 866,237.10 and 156,770.92 is: 235,168.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,462.24 : 866,237.10 = 156,770.92 : x
  2. Step 2: Convert to fraction form
    577,462.24/866,237.10 = 156,770.92/x
  3. Step 3: Cross multiply
    577,462.24x = 866,237.10 × 156,770.92
  4. Step 4: Simplify right side
    577,462.24x = 135,800,787,105.13
  5. Step 5: Solve for x
    x = 135,800,787,105.13/577,462.24
  6. Step 6: Final answer
    x = 235,168.25

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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.