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Finding the Fourth Proportional to 408,232.12, 612,382.74 and 112,744.12

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Solution

The fourth proportional to 408,232.12, 612,382.74 and 112,744.12 is: 169,125.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,232.12 : 612,382.74 = 112,744.12 : x
  2. Step 2: Convert to fraction form
    408,232.12/612,382.74 = 112,744.12/x
  3. Step 3: Cross multiply
    408,232.12x = 612,382.74 × 112,744.12
  4. Step 4: Simplify right side
    408,232.12x = 69,042,553,124.49
  5. Step 5: Solve for x
    x = 69,042,553,124.49/408,232.12
  6. Step 6: Final answer
    x = 169,125.72

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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.