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Finding the Fourth Proportional to 408,427.38, 612,641.34 and 127,966.50

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Solution

The fourth proportional to 408,427.38, 612,641.34 and 127,966.50 is: 191,949.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,427.38 : 612,641.34 = 127,966.50 : x
  2. Step 2: Convert to fraction form
    408,427.38/612,641.34 = 127,966.50/x
  3. Step 3: Cross multiply
    408,427.38x = 612,641.34 × 127,966.50
  4. Step 4: Simplify right side
    408,427.38x = 78,397,568,035.11
  5. Step 5: Solve for x
    x = 78,397,568,035.11/408,427.38
  6. Step 6: Final answer
    x = 191,949.83

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1.5x scale

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.