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Finding the Fourth Proportional to 408,325.38, 612,488.07 and 127,864.50

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Solution

The fourth proportional to 408,325.38, 612,488.07 and 127,864.50 is: 191,796.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,325.38 : 612,488.07 = 127,864.50 : x
  2. Step 2: Convert to fraction form
    408,325.38/612,488.07 = 127,864.50/x
  3. Step 3: Cross multiply
    408,325.38x = 612,488.07 × 127,864.50
  4. Step 4: Simplify right side
    408,325.38x = 78,315,480,826.52
  5. Step 5: Solve for x
    x = 78,315,480,826.52/408,325.38
  6. Step 6: Final answer
    x = 191,796.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.