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Finding the Fourth Proportional to 408,278.21, 563,442.62 and 227,008.71

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Solution

The fourth proportional to 408,278.21, 563,442.62 and 227,008.71 is: 313,282.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,278.21 : 563,442.62 = 227,008.71 : x
  2. Step 2: Convert to fraction form
    408,278.21/563,442.62 = 227,008.71/x
  3. Step 3: Cross multiply
    408,278.21x = 563,442.62 × 227,008.71
  4. Step 4: Simplify right side
    408,278.21x = 127,906,381,190.18
  5. Step 5: Solve for x
    x = 127,906,381,190.18/408,278.21
  6. Step 6: Final answer
    x = 313,282.41

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1.5x scale

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.