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Finding the Fourth Proportional to 384,367.20, 574,995.60 and 337,711.20

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Solution

The fourth proportional to 384,367.20, 574,995.60 and 337,711.20 is: 505,200.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,367.20 : 574,995.60 = 337,711.20 : x
  2. Step 2: Convert to fraction form
    384,367.20/574,995.60 = 337,711.20/x
  3. Step 3: Cross multiply
    384,367.20x = 574,995.60 × 337,711.20
  4. Step 4: Simplify right side
    384,367.20x = 194,182,454,070.72
  5. Step 5: Solve for x
    x = 194,182,454,070.72/384,367.20
  6. Step 6: Final answer
    x = 505,200.38

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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.