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Finding the Fourth Proportional to 399,753.72, 551,758.10 and 227,773.08

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Solution

The fourth proportional to 399,753.72, 551,758.10 and 227,773.08 is: 314,382.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,753.72 : 551,758.10 = 227,773.08 : x
  2. Step 2: Convert to fraction form
    399,753.72/551,758.10 = 227,773.08/x
  3. Step 3: Cross multiply
    399,753.72x = 551,758.10 × 227,773.08
  4. Step 4: Simplify right side
    399,753.72x = 125,675,640,713.08
  5. Step 5: Solve for x
    x = 125,675,640,713.08/399,753.72
  6. Step 6: Final answer
    x = 314,382.67

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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.