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Finding the Fourth Proportional to 414,787.68, 622,280.24 and 134,304.80

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Solution

The fourth proportional to 414,787.68, 622,280.24 and 134,304.80 is: 201,489.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,787.68 : 622,280.24 = 134,304.80 : x
  2. Step 2: Convert to fraction form
    414,787.68/622,280.24 = 134,304.80/x
  3. Step 3: Cross multiply
    414,787.68x = 622,280.24 × 134,304.80
  4. Step 4: Simplify right side
    414,787.68x = 83,575,223,177.15
  5. Step 5: Solve for x
    x = 83,575,223,177.15/414,787.68
  6. Step 6: Final answer
    x = 201,489.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.