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Finding the Fourth Proportional to 408,691.32, 563,996.80 and 227,410.89

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Solution

The fourth proportional to 408,691.32, 563,996.80 and 227,410.89 is: 313,828.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,691.32 : 563,996.80 = 227,410.89 : x
  2. Step 2: Convert to fraction form
    408,691.32/563,996.80 = 227,410.89/x
  3. Step 3: Cross multiply
    408,691.32x = 563,996.80 × 227,410.89
  4. Step 4: Simplify right side
    408,691.32x = 128,259,014,245.15
  5. Step 5: Solve for x
    x = 128,259,014,245.15/408,691.32
  6. Step 6: Final answer
    x = 313,828.57

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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.