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Finding the Fourth Proportional to 408,895.28, 564,275.36 and 227,603.28

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Solution

The fourth proportional to 408,895.28, 564,275.36 and 227,603.28 is: 314,092.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,895.28 : 564,275.36 = 227,603.28 : x
  2. Step 2: Convert to fraction form
    408,895.28/564,275.36 = 227,603.28/x
  3. Step 3: Cross multiply
    408,895.28x = 564,275.36 × 227,603.28
  4. Step 4: Simplify right side
    408,895.28x = 128,430,922,759.18
  5. Step 5: Solve for x
    x = 128,430,922,759.18/408,895.28
  6. Step 6: Final answer
    x = 314,092.46

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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.