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Finding the Fourth Proportional to 418,382.70, 577,371.92 and 227,396.55

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Solution

The fourth proportional to 418,382.70, 577,371.92 and 227,396.55 is: 313,809.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,382.70 : 577,371.92 = 227,396.55 : x
  2. Step 2: Convert to fraction form
    418,382.70/577,371.92 = 227,396.55/x
  3. Step 3: Cross multiply
    418,382.70x = 577,371.92 × 227,396.55
  4. Step 4: Simplify right side
    418,382.70x = 131,292,382,674.88
  5. Step 5: Solve for x
    x = 131,292,382,674.88/418,382.70
  6. Step 6: Final answer
    x = 313,809.30

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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.