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Finding the Fourth Proportional to 372,218.70, 513,657.96 and 202,452.78

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Solution

The fourth proportional to 372,218.70, 513,657.96 and 202,452.78 is: 279,382.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,218.70 : 513,657.96 = 202,452.78 : x
  2. Step 2: Convert to fraction form
    372,218.70/513,657.96 = 202,452.78/x
  3. Step 3: Cross multiply
    372,218.70x = 513,657.96 × 202,452.78
  4. Step 4: Simplify right side
    372,218.70x = 103,991,481,971.13
  5. Step 5: Solve for x
    x = 103,991,481,971.13/372,218.70
  6. Step 6: Final answer
    x = 279,382.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.