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Finding the Fourth Proportional to 418,805.29, 577,955.73 and 227,819.17

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Solution

The fourth proportional to 418,805.29, 577,955.73 and 227,819.17 is: 314,392.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,805.29 : 577,955.73 = 227,819.17 : x
  2. Step 2: Convert to fraction form
    418,805.29/577,955.73 = 227,819.17/x
  3. Step 3: Cross multiply
    418,805.29x = 577,955.73 × 227,819.17
  4. Step 4: Simplify right side
    418,805.29x = 131,669,394,705.34
  5. Step 5: Solve for x
    x = 131,669,394,705.34/418,805.29
  6. Step 6: Final answer
    x = 314,392.86

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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.