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Finding the Fourth Proportional to 277,650.24, 416,689.28 and 144,564

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Solution

The fourth proportional to 277,650.24, 416,689.28 and 144,564 is: 216,957.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,650.24 : 416,689.28 = 144,564 : x
  2. Step 2: Convert to fraction form
    277,650.24/416,689.28 = 144,564/x
  3. Step 3: Cross multiply
    277,650.24x = 416,689.28 × 144,564
  4. Step 4: Simplify right side
    277,650.24x = 60,238,269,073.92
  5. Step 5: Solve for x
    x = 60,238,269,073.92/277,650.24
  6. Step 6: Final answer
    x = 216,957.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.