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Finding the Fourth Proportional to 577,468.24, 866,246.10 and 156,776.92

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Solution

The fourth proportional to 577,468.24, 866,246.10 and 156,776.92 is: 235,177.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,468.24 : 866,246.10 = 156,776.92 : x
  2. Step 2: Convert to fraction form
    577,468.24/866,246.10 = 156,776.92/x
  3. Step 3: Cross multiply
    577,468.24x = 866,246.10 × 156,776.92
  4. Step 4: Simplify right side
    577,468.24x = 135,807,395,520.01
  5. Step 5: Solve for x
    x = 135,807,395,520.01/577,468.24
  6. Step 6: Final answer
    x = 235,177.25

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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.