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Finding the Fourth Proportional to 577,464.24, 866,240.10 and 156,772.92

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Solution

The fourth proportional to 577,464.24, 866,240.10 and 156,772.92 is: 235,171.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,464.24 : 866,240.10 = 156,772.92 : x
  2. Step 2: Convert to fraction form
    577,464.24/866,240.10 = 156,772.92/x
  3. Step 3: Cross multiply
    577,464.24x = 866,240.10 × 156,772.92
  4. Step 4: Simplify right side
    577,464.24x = 135,802,989,898.09
  5. Step 5: Solve for x
    x = 135,802,989,898.09/577,464.24
  6. Step 6: Final answer
    x = 235,171.25

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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.