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Finding the Fourth Proportional to 408,820.82, 564,191.31 and 227,544.36

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Solution

The fourth proportional to 408,820.82, 564,191.31 and 227,544.36 is: 314,021.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,820.82 : 564,191.31 = 227,544.36 : x
  2. Step 2: Convert to fraction form
    408,820.82/564,191.31 = 227,544.36/x
  3. Step 3: Cross multiply
    408,820.82x = 564,191.31 × 227,544.36
  4. Step 4: Simplify right side
    408,820.82x = 128,378,550,551.51
  5. Step 5: Solve for x
    x = 128,378,550,551.51/408,820.82
  6. Step 6: Final answer
    x = 314,021.56

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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.