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Finding the Fourth Proportional to 414,918.30, 622,377.45 and 134,463.90

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Solution

The fourth proportional to 414,918.30, 622,377.45 and 134,463.90 is: 201,695.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,918.30 : 622,377.45 = 134,463.90 : x
  2. Step 2: Convert to fraction form
    414,918.30/622,377.45 = 134,463.90/x
  3. Step 3: Cross multiply
    414,918.30x = 622,377.45 × 134,463.90
  4. Step 4: Simplify right side
    414,918.30x = 83,687,299,199.06
  5. Step 5: Solve for x
    x = 83,687,299,199.06/414,918.30
  6. Step 6: Final answer
    x = 201,695.85

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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.