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Finding the Fourth Proportional to 384,335.20, 574,947.60 and 337,679.20

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Solution

The fourth proportional to 384,335.20, 574,947.60 and 337,679.20 is: 505,152.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,335.20 : 574,947.60 = 337,679.20 : x
  2. Step 2: Convert to fraction form
    384,335.20/574,947.60 = 337,679.20/x
  3. Step 3: Cross multiply
    384,335.20x = 574,947.60 × 337,679.20
  4. Step 4: Simplify right side
    384,335.20x = 194,147,845,609.92
  5. Step 5: Solve for x
    x = 194,147,845,609.92/384,335.20
  6. Step 6: Final answer
    x = 505,152.39

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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.