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Finding the Fourth Proportional to 408,102.40, 611,716.20 and 155,285.20

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Solution

The fourth proportional to 408,102.40, 611,716.20 and 155,285.20 is: 232,761.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,102.40 : 611,716.20 = 155,285.20 : x
  2. Step 2: Convert to fraction form
    408,102.40/611,716.20 = 155,285.20/x
  3. Step 3: Cross multiply
    408,102.40x = 611,716.20 × 155,285.20
  4. Step 4: Simplify right side
    408,102.40x = 94,990,472,460.24
  5. Step 5: Solve for x
    x = 94,990,472,460.24/408,102.40
  6. Step 6: Final answer
    x = 232,761.37

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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.