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Finding the Fourth Proportional to 408,713.85, 612,895.82 and 128,252.97

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Solution

The fourth proportional to 408,713.85, 612,895.82 and 128,252.97 is: 192,324.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,713.85 : 612,895.82 = 128,252.97 : x
  2. Step 2: Convert to fraction form
    408,713.85/612,895.82 = 128,252.97/x
  3. Step 3: Cross multiply
    408,713.85x = 612,895.82 × 128,252.97
  4. Step 4: Simplify right side
    408,713.85x = 78,605,708,574.32
  5. Step 5: Solve for x
    x = 78,605,708,574.32/408,713.85
  6. Step 6: Final answer
    x = 192,324.55

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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.