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Finding the Fourth Proportional to 378,743.76, 522,930.60 and 235,568.16

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Solution

The fourth proportional to 378,743.76, 522,930.60 and 235,568.16 is: 325,248.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,743.76 : 522,930.60 = 235,568.16 : x
  2. Step 2: Convert to fraction form
    378,743.76/522,930.60 = 235,568.16/x
  3. Step 3: Cross multiply
    378,743.76x = 522,930.60 × 235,568.16
  4. Step 4: Simplify right side
    378,743.76x = 123,185,799,249.70
  5. Step 5: Solve for x
    x = 123,185,799,249.70/378,743.76
  6. Step 6: Final answer
    x = 325,248.39

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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.