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Finding the Fourth Proportional to 277,545.17, 416,343.87 and 77,864.78

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Solution

The fourth proportional to 277,545.17, 416,343.87 and 77,864.78 is: 116,804.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,545.17 : 416,343.87 = 77,864.78 : x
  2. Step 2: Convert to fraction form
    277,545.17/416,343.87 = 77,864.78/x
  3. Step 3: Cross multiply
    277,545.17x = 416,343.87 × 77,864.78
  4. Step 4: Simplify right side
    277,545.17x = 32,418,521,760.18
  5. Step 5: Solve for x
    x = 32,418,521,760.18/277,545.17
  6. Step 6: Final answer
    x = 116,804.49

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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.