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Finding the Fourth Proportional to 408,335.60, 563,502.24 and 227,041.76

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Solution

The fourth proportional to 408,335.60, 563,502.24 and 227,041.76 is: 313,317.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,335.60 : 563,502.24 = 227,041.76 : x
  2. Step 2: Convert to fraction form
    408,335.60/563,502.24 = 227,041.76/x
  3. Step 3: Cross multiply
    408,335.60x = 563,502.24 × 227,041.76
  4. Step 4: Simplify right side
    408,335.60x = 127,938,540,333.54
  5. Step 5: Solve for x
    x = 127,938,540,333.54/408,335.60
  6. Step 6: Final answer
    x = 313,317.14

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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.