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Finding the Fourth Proportional to 437,497.23, 656,957.82 and 270,081.78

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Solution

The fourth proportional to 437,497.23, 656,957.82 and 270,081.78 is: 405,562.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,497.23 : 656,957.82 = 270,081.78 : x
  2. Step 2: Convert to fraction form
    437,497.23/656,957.82 = 270,081.78/x
  3. Step 3: Cross multiply
    437,497.23x = 656,957.82 × 270,081.78
  4. Step 4: Simplify right side
    437,497.23x = 177,432,337,410.52
  5. Step 5: Solve for x
    x = 177,432,337,410.52/437,497.23
  6. Step 6: Final answer
    x = 405,562.20

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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.