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Finding the Fourth Proportional to 408,317.55, 563,478.74 and 227,027.55

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Solution

The fourth proportional to 408,317.55, 563,478.74 and 227,027.55 is: 313,298.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,317.55 : 563,478.74 = 227,027.55 : x
  2. Step 2: Convert to fraction form
    408,317.55/563,478.74 = 227,027.55/x
  3. Step 3: Cross multiply
    408,317.55x = 563,478.74 × 227,027.55
  4. Step 4: Simplify right side
    408,317.55x = 127,925,197,819.29
  5. Step 5: Solve for x
    x = 127,925,197,819.29/408,317.55
  6. Step 6: Final answer
    x = 313,298.31

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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.