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Finding the Fourth Proportional to 418,401.97, 577,401.27 and 227,415.85

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Solution

The fourth proportional to 418,401.97, 577,401.27 and 227,415.85 is: 313,837.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,401.97 : 577,401.27 = 227,415.85 : x
  2. Step 2: Convert to fraction form
    418,401.97/577,401.27 = 227,415.85/x
  3. Step 3: Cross multiply
    418,401.97x = 577,401.27 × 227,415.85
  4. Step 4: Simplify right side
    418,401.97x = 131,310,200,608.13
  5. Step 5: Solve for x
    x = 131,310,200,608.13/418,401.97
  6. Step 6: Final answer
    x = 313,837.43

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1.5x scale

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.