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Finding the Fourth Proportional to 418,432.96, 577,434.18 and 227,441.44

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Solution

The fourth proportional to 418,432.96, 577,434.18 and 227,441.44 is: 313,867.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,432.96 : 577,434.18 = 227,441.44 : x
  2. Step 2: Convert to fraction form
    418,432.96/577,434.18 = 227,441.44/x
  3. Step 3: Cross multiply
    418,432.96x = 577,434.18 × 227,441.44
  4. Step 4: Simplify right side
    418,432.96x = 131,332,461,404.42
  5. Step 5: Solve for x
    x = 131,332,461,404.42/418,432.96
  6. Step 6: Final answer
    x = 313,867.39

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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.