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Finding the Fourth Proportional to 277,713.20, 416,472.60 and 144,549.20

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Solution

The fourth proportional to 277,713.20, 416,472.60 and 144,549.20 is: 216,773.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,713.20 : 416,472.60 = 144,549.20 : x
  2. Step 2: Convert to fraction form
    277,713.20/416,472.60 = 144,549.20/x
  3. Step 3: Cross multiply
    277,713.20x = 416,472.60 × 144,549.20
  4. Step 4: Simplify right side
    277,713.20x = 60,200,781,151.92
  5. Step 5: Solve for x
    x = 60,200,781,151.92/277,713.20
  6. Step 6: Final answer
    x = 216,773.21

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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.