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Finding the Fourth Proportional to 408,032.20, 612,134.70 and 123,699.40

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Solution

The fourth proportional to 408,032.20, 612,134.70 and 123,699.40 is: 185,575.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,032.20 : 612,134.70 = 123,699.40 : x
  2. Step 2: Convert to fraction form
    408,032.20/612,134.70 = 123,699.40/x
  3. Step 3: Cross multiply
    408,032.20x = 612,134.70 × 123,699.40
  4. Step 4: Simplify right side
    408,032.20x = 75,720,695,109.18
  5. Step 5: Solve for x
    x = 75,720,695,109.18/408,032.20
  6. Step 6: Final answer
    x = 185,575.29

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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.