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Finding the Fourth Proportional to 408,081.40, 611,684.70 and 155,264.20

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Solution

The fourth proportional to 408,081.40, 611,684.70 and 155,264.20 is: 232,729.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,081.40 : 611,684.70 = 155,264.20 : x
  2. Step 2: Convert to fraction form
    408,081.40/611,684.70 = 155,264.20/x
  3. Step 3: Cross multiply
    408,081.40x = 611,684.70 × 155,264.20
  4. Step 4: Simplify right side
    408,081.40x = 94,972,735,597.74
  5. Step 5: Solve for x
    x = 94,972,735,597.74/408,081.40
  6. Step 6: Final answer
    x = 232,729.88

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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.