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Finding the Fourth Proportional to 408,832.23, 564,182.82 and 227,544.12

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Solution

The fourth proportional to 408,832.23, 564,182.82 and 227,544.12 is: 314,007.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,832.23 : 564,182.82 = 227,544.12 : x
  2. Step 2: Convert to fraction form
    408,832.23/564,182.82 = 227,544.12/x
  3. Step 3: Cross multiply
    408,832.23x = 564,182.82 × 227,544.12
  4. Step 4: Simplify right side
    408,832.23x = 128,376,483,296.02
  5. Step 5: Solve for x
    x = 128,376,483,296.02/408,832.23
  6. Step 6: Final answer
    x = 314,007.74

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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.