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Finding the Fourth Proportional to 277,406.87, 416,110.37 and 67,044.78

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Solution

The fourth proportional to 277,406.87, 416,110.37 and 67,044.78 is: 100,567.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,406.87 : 416,110.37 = 67,044.78 : x
  2. Step 2: Convert to fraction form
    277,406.87/416,110.37 = 67,044.78/x
  3. Step 3: Cross multiply
    277,406.87x = 416,110.37 × 67,044.78
  4. Step 4: Simplify right side
    277,406.87x = 27,898,027,877.14
  5. Step 5: Solve for x
    x = 27,898,027,877.14/277,406.87
  6. Step 6: Final answer
    x = 100,567.19

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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.