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Finding the Fourth Proportional to 418,841.91, 577,999.08 and 227,856.06

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Solution

The fourth proportional to 418,841.91, 577,999.08 and 227,856.06 is: 314,439.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,841.91 : 577,999.08 = 227,856.06 : x
  2. Step 2: Convert to fraction form
    418,841.91/577,999.08 = 227,856.06/x
  3. Step 3: Cross multiply
    418,841.91x = 577,999.08 × 227,856.06
  4. Step 4: Simplify right side
    418,841.91x = 131,700,593,052.43
  5. Step 5: Solve for x
    x = 131,700,593,052.43/418,841.91
  6. Step 6: Final answer
    x = 314,439.86

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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.