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Finding the Fourth Proportional to 408,293.91, 563,464.35 and 227,024.46

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Solution

The fourth proportional to 408,293.91, 563,464.35 and 227,024.46 is: 313,304.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,293.91 : 563,464.35 = 227,024.46 : x
  2. Step 2: Convert to fraction form
    408,293.91/563,464.35 = 227,024.46/x
  3. Step 3: Cross multiply
    408,293.91x = 563,464.35 × 227,024.46
  4. Step 4: Simplify right side
    408,293.91x = 127,920,189,788.00
  5. Step 5: Solve for x
    x = 127,920,189,788.00/408,293.91
  6. Step 6: Final answer
    x = 313,304.18

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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.