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Finding the Fourth Proportional to 437,564.70, 656,347.05 and 408,040.20

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Solution

The fourth proportional to 437,564.70, 656,347.05 and 408,040.20 is: 612,060.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,564.70 : 656,347.05 = 408,040.20 : x
  2. Step 2: Convert to fraction form
    437,564.70/656,347.05 = 408,040.20/x
  3. Step 3: Cross multiply
    437,564.70x = 656,347.05 × 408,040.20
  4. Step 4: Simplify right side
    437,564.70x = 267,815,981,551.41
  5. Step 5: Solve for x
    x = 267,815,981,551.41/437,564.70
  6. Step 6: Final answer
    x = 612,060.30

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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.