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Finding the Fourth Proportional to 493,256.31, 739,909.95 and 156,332.76

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Solution

The fourth proportional to 493,256.31, 739,909.95 and 156,332.76 is: 234,507.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,256.31 : 739,909.95 = 156,332.76 : x
  2. Step 2: Convert to fraction form
    493,256.31/739,909.95 = 156,332.76/x
  3. Step 3: Cross multiply
    493,256.31x = 739,909.95 × 156,332.76
  4. Step 4: Simplify right side
    493,256.31x = 115,672,164,634.96
  5. Step 5: Solve for x
    x = 115,672,164,634.96/493,256.31
  6. Step 6: Final answer
    x = 234,507.22

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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.