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Finding the Fourth Proportional to 577,738.92, 866,433.42 and 156,960.12

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Solution

The fourth proportional to 577,738.92, 866,433.42 and 156,960.12 is: 235,392.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,738.92 : 866,433.42 = 156,960.12 : x
  2. Step 2: Convert to fraction form
    577,738.92/866,433.42 = 156,960.12/x
  3. Step 3: Cross multiply
    577,738.92x = 866,433.42 × 156,960.12
  4. Step 4: Simplify right side
    577,738.92x = 135,995,493,575.21
  5. Step 5: Solve for x
    x = 135,995,493,575.21/577,738.92
  6. Step 6: Final answer
    x = 235,392.65

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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.