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Finding the Fourth Proportional to 408,885.30, 564,249.15 and 227,592.58

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Solution

The fourth proportional to 408,885.30, 564,249.15 and 227,592.58 is: 314,070.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,885.30 : 564,249.15 = 227,592.58 : x
  2. Step 2: Convert to fraction form
    408,885.30/564,249.15 = 227,592.58/x
  3. Step 3: Cross multiply
    408,885.30x = 564,249.15 × 227,592.58
  4. Step 4: Simplify right side
    408,885.30x = 128,418,919,811.31
  5. Step 5: Solve for x
    x = 128,418,919,811.31/408,885.30
  6. Step 6: Final answer
    x = 314,070.77

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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.