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Finding the Fourth Proportional to 418,732.54, 577,846.58 and 227,745.88

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Solution

The fourth proportional to 418,732.54, 577,846.58 and 227,745.88 is: 314,286.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,732.54 : 577,846.58 = 227,745.88 : x
  2. Step 2: Convert to fraction form
    418,732.54/577,846.58 = 227,745.88/x
  3. Step 3: Cross multiply
    418,732.54x = 577,846.58 × 227,745.88
  4. Step 4: Simplify right side
    418,732.54x = 131,602,175,283.75
  5. Step 5: Solve for x
    x = 131,602,175,283.75/418,732.54
  6. Step 6: Final answer
    x = 314,286.96

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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.