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Finding the Fourth Proportional to 418,506.76, 577,545.90 and 227,520.88

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Solution

The fourth proportional to 418,506.76, 577,545.90 and 227,520.88 is: 313,982.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,506.76 : 577,545.90 = 227,520.88 : x
  2. Step 2: Convert to fraction form
    418,506.76/577,545.90 = 227,520.88/x
  3. Step 3: Cross multiply
    418,506.76x = 577,545.90 × 227,520.88
  4. Step 4: Simplify right side
    418,506.76x = 131,403,751,408.39
  5. Step 5: Solve for x
    x = 131,403,751,408.39/418,506.76
  6. Step 6: Final answer
    x = 313,982.39

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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.