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Finding the Fourth Proportional to 402,943.20, 604,414.80 and 242,584.80

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Solution

The fourth proportional to 402,943.20, 604,414.80 and 242,584.80 is: 363,877.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,943.20 : 604,414.80 = 242,584.80 : x
  2. Step 2: Convert to fraction form
    402,943.20/604,414.80 = 242,584.80/x
  3. Step 3: Cross multiply
    402,943.20x = 604,414.80 × 242,584.80
  4. Step 4: Simplify right side
    402,943.20x = 146,621,843,375.04
  5. Step 5: Solve for x
    x = 146,621,843,375.04/402,943.20
  6. Step 6: Final answer
    x = 363,877.20

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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.