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Finding the Fourth Proportional to 408,993.17, 564,409.33 and 227,700.43

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Solution

The fourth proportional to 408,993.17, 564,409.33 and 227,700.43 is: 314,225.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,993.17 : 564,409.33 = 227,700.43 : x
  2. Step 2: Convert to fraction form
    408,993.17/564,409.33 = 227,700.43/x
  3. Step 3: Cross multiply
    408,993.17x = 564,409.33 × 227,700.43
  4. Step 4: Simplify right side
    408,993.17x = 128,516,245,156.74
  5. Step 5: Solve for x
    x = 128,516,245,156.74/408,993.17
  6. Step 6: Final answer
    x = 314,225.90

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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.