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Finding the Fourth Proportional to 408,667, 563,963.28 and 227,386.58

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Solution

The fourth proportional to 408,667, 563,963.28 and 227,386.58 is: 313,795.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,667 : 563,963.28 = 227,386.58 : x
  2. Step 2: Convert to fraction form
    408,667/563,963.28 = 227,386.58/x
  3. Step 3: Cross multiply
    408,667x = 563,963.28 × 227,386.58
  4. Step 4: Simplify right side
    408,667x = 128,237,681,484.78
  5. Step 5: Solve for x
    x = 128,237,681,484.78/408,667
  6. Step 6: Final answer
    x = 313,795.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.