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Finding the Fourth Proportional to 418,214.56, 577,136.72 and 227,227.88

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Solution

The fourth proportional to 418,214.56, 577,136.72 and 227,227.88 is: 313,574.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,214.56 : 577,136.72 = 227,227.88 : x
  2. Step 2: Convert to fraction form
    418,214.56/577,136.72 = 227,227.88/x
  3. Step 3: Cross multiply
    418,214.56x = 577,136.72 × 227,227.88
  4. Step 4: Simplify right side
    418,214.56x = 131,141,553,355.75
  5. Step 5: Solve for x
    x = 131,141,553,355.75/418,214.56
  6. Step 6: Final answer
    x = 313,574.82

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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.