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Finding the Fourth Proportional to 408,061.60, 612,092.40 and 333,266.20

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Solution

The fourth proportional to 408,061.60, 612,092.40 and 333,266.20 is: 499,899.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,061.60 : 612,092.40 = 333,266.20 : x
  2. Step 2: Convert to fraction form
    408,061.60/612,092.40 = 333,266.20/x
  3. Step 3: Cross multiply
    408,061.60x = 612,092.40 × 333,266.20
  4. Step 4: Simplify right side
    408,061.60x = 203,989,708,196.88
  5. Step 5: Solve for x
    x = 203,989,708,196.88/408,061.60
  6. Step 6: Final answer
    x = 499,899.30

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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.