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Finding the Fourth Proportional to 398,864.25, 597,960.78 and 185,523.77

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Solution

The fourth proportional to 398,864.25, 597,960.78 and 185,523.77 is: 278,129.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,864.25 : 597,960.78 = 185,523.77 : x
  2. Step 2: Convert to fraction form
    398,864.25/597,960.78 = 185,523.77/x
  3. Step 3: Cross multiply
    398,864.25x = 597,960.78 × 185,523.77
  4. Step 4: Simplify right side
    398,864.25x = 110,935,936,696.97
  5. Step 5: Solve for x
    x = 110,935,936,696.97/398,864.25
  6. Step 6: Final answer
    x = 278,129.56

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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.