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Finding the Fourth Proportional to 416,719.75, 574,956.59 and 261,687.76

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Solution

The fourth proportional to 416,719.75, 574,956.59 and 261,687.76 is: 361,055.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,719.75 : 574,956.59 = 261,687.76 : x
  2. Step 2: Convert to fraction form
    416,719.75/574,956.59 = 261,687.76/x
  3. Step 3: Cross multiply
    416,719.75x = 574,956.59 × 261,687.76
  4. Step 4: Simplify right side
    416,719.75x = 150,459,102,134.34
  5. Step 5: Solve for x
    x = 150,459,102,134.34/416,719.75
  6. Step 6: Final answer
    x = 361,055.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.