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Finding the Fourth Proportional to 408,895.46, 564,294.33 and 227,618.88

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Solution

The fourth proportional to 408,895.46, 564,294.33 and 227,618.88 is: 314,124.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,895.46 : 564,294.33 = 227,618.88 : x
  2. Step 2: Convert to fraction form
    408,895.46/564,294.33 = 227,618.88/x
  3. Step 3: Cross multiply
    408,895.46x = 564,294.33 × 227,618.88
  4. Step 4: Simplify right side
    408,895.46x = 128,444,043,384.95
  5. Step 5: Solve for x
    x = 128,444,043,384.95/408,895.46
  6. Step 6: Final answer
    x = 314,124.41

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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.