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Finding the Fourth Proportional to 378,593.93, 522,516.20 and 242,781.23

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Solution

The fourth proportional to 378,593.93, 522,516.20 and 242,781.23 is: 335,074.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,593.93 : 522,516.20 = 242,781.23 : x
  2. Step 2: Convert to fraction form
    378,593.93/522,516.20 = 242,781.23/x
  3. Step 3: Cross multiply
    378,593.93x = 522,516.20 × 242,781.23
  4. Step 4: Simplify right side
    378,593.93x = 126,857,125,730.93
  5. Step 5: Solve for x
    x = 126,857,125,730.93/378,593.93
  6. Step 6: Final answer
    x = 335,074.38

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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.