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Finding the Fourth Proportional to 408,114, 612,206.28 and 112,626

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Solution

The fourth proportional to 408,114, 612,206.28 and 112,626 is: 168,948.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,114 : 612,206.28 = 112,626 : x
  2. Step 2: Convert to fraction form
    408,114/612,206.28 = 112,626/x
  3. Step 3: Cross multiply
    408,114x = 612,206.28 × 112,626
  4. Step 4: Simplify right side
    408,114x = 68,950,344,491.28
  5. Step 5: Solve for x
    x = 68,950,344,491.28/408,114
  6. Step 6: Final answer
    x = 168,948.74

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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.