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Finding the Fourth Proportional to 418,144.94, 577,040.70 and 227,158.49

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Solution

The fourth proportional to 418,144.94, 577,040.70 and 227,158.49 is: 313,479.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,144.94 : 577,040.70 = 227,158.49 : x
  2. Step 2: Convert to fraction form
    418,144.94/577,040.70 = 227,158.49/x
  3. Step 3: Cross multiply
    418,144.94x = 577,040.70 × 227,158.49
  4. Step 4: Simplify right side
    418,144.94x = 131,079,694,080.54
  5. Step 5: Solve for x
    x = 131,079,694,080.54/418,144.94
  6. Step 6: Final answer
    x = 313,479.09

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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.