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Finding the Fourth Proportional to 397,957.32, 597,000.82 and 117,502.92

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Solution

The fourth proportional to 397,957.32, 597,000.82 and 117,502.92 is: 176,273.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,957.32 : 597,000.82 = 117,502.92 : x
  2. Step 2: Convert to fraction form
    397,957.32/597,000.82 = 117,502.92/x
  3. Step 3: Cross multiply
    397,957.32x = 597,000.82 × 117,502.92
  4. Step 4: Simplify right side
    397,957.32x = 70,149,339,592.39
  5. Step 5: Solve for x
    x = 70,149,339,592.39/397,957.32
  6. Step 6: Final answer
    x = 176,273.52

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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.