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Finding the Fourth Proportional to 337,694.87, 506,290.80 and 204,543.02

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Solution

The fourth proportional to 337,694.87, 506,290.80 and 204,543.02 is: 306,662.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,694.87 : 506,290.80 = 204,543.02 : x
  2. Step 2: Convert to fraction form
    337,694.87/506,290.80 = 204,543.02/x
  3. Step 3: Cross multiply
    337,694.87x = 506,290.80 × 204,543.02
  4. Step 4: Simplify right side
    337,694.87x = 103,558,251,262.98
  5. Step 5: Solve for x
    x = 103,558,251,262.98/337,694.87
  6. Step 6: Final answer
    x = 306,662.20

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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.