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Finding the Fourth Proportional to 408,806.07, 564,152.37 and 227,560.82

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Solution

The fourth proportional to 408,806.07, 564,152.37 and 227,560.82 is: 314,033.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,806.07 : 564,152.37 = 227,560.82 : x
  2. Step 2: Convert to fraction form
    408,806.07/564,152.37 = 227,560.82/x
  3. Step 3: Cross multiply
    408,806.07x = 564,152.37 × 227,560.82
  4. Step 4: Simplify right side
    408,806.07x = 128,378,973,101.38
  5. Step 5: Solve for x
    x = 128,378,973,101.38/408,806.07
  6. Step 6: Final answer
    x = 314,033.92

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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.