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Finding the Fourth Proportional to 296,586.77, 444,956.02 and 86,224.70

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Solution

The fourth proportional to 296,586.77, 444,956.02 and 86,224.70 is: 129,359.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,586.77 : 444,956.02 = 86,224.70 : x
  2. Step 2: Convert to fraction form
    296,586.77/444,956.02 = 86,224.70/x
  3. Step 3: Cross multiply
    296,586.77x = 444,956.02 × 86,224.70
  4. Step 4: Simplify right side
    296,586.77x = 38,366,200,234.52
  5. Step 5: Solve for x
    x = 38,366,200,234.52/296,586.77
  6. Step 6: Final answer
    x = 129,359.11

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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.