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Finding the Fourth Proportional to 267,001.78, 400,440.37 and 77,411.26

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Solution

The fourth proportional to 267,001.78, 400,440.37 and 77,411.26 is: 116,098.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,001.78 : 400,440.37 = 77,411.26 : x
  2. Step 2: Convert to fraction form
    267,001.78/400,440.37 = 77,411.26/x
  3. Step 3: Cross multiply
    267,001.78x = 400,440.37 × 77,411.26
  4. Step 4: Simplify right side
    267,001.78x = 30,998,593,831.02
  5. Step 5: Solve for x
    x = 30,998,593,831.02/267,001.78
  6. Step 6: Final answer
    x = 116,098.83

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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.