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Finding the Fourth Proportional to 322,013.48, 482,864.86 and 134,974.76

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Solution

The fourth proportional to 322,013.48, 482,864.86 and 134,974.76 is: 202,397.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,013.48 : 482,864.86 = 134,974.76 : x
  2. Step 2: Convert to fraction form
    322,013.48/482,864.86 = 134,974.76/x
  3. Step 3: Cross multiply
    322,013.48x = 482,864.86 × 134,974.76
  4. Step 4: Simplify right side
    322,013.48x = 65,174,568,590.93
  5. Step 5: Solve for x
    x = 65,174,568,590.93/322,013.48
  6. Step 6: Final answer
    x = 202,397.02

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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.