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Finding the Fourth Proportional to 398,208.32, 597,105.12 and 187,789.76

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Solution

The fourth proportional to 398,208.32, 597,105.12 and 187,789.76 is: 281,586.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,208.32 : 597,105.12 = 187,789.76 : x
  2. Step 2: Convert to fraction form
    398,208.32/597,105.12 = 187,789.76/x
  3. Step 3: Cross multiply
    398,208.32x = 597,105.12 × 187,789.76
  4. Step 4: Simplify right side
    398,208.32x = 112,130,227,179.57
  5. Step 5: Solve for x
    x = 112,130,227,179.57/398,208.32
  6. Step 6: Final answer
    x = 281,586.85

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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.