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Finding the Fourth Proportional to 277,714.20, 416,474.10 and 144,550.20

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Solution

The fourth proportional to 277,714.20, 416,474.10 and 144,550.20 is: 216,774.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,714.20 : 416,474.10 = 144,550.20 : x
  2. Step 2: Convert to fraction form
    277,714.20/416,474.10 = 144,550.20/x
  3. Step 3: Cross multiply
    277,714.20x = 416,474.10 × 144,550.20
  4. Step 4: Simplify right side
    277,714.20x = 60,201,414,449.82
  5. Step 5: Solve for x
    x = 60,201,414,449.82/277,714.20
  6. Step 6: Final answer
    x = 216,774.71

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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.