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Finding the Fourth Proportional to 414,777.39, 622,264.50 and 134,294.64

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Solution

The fourth proportional to 414,777.39, 622,264.50 and 134,294.64 is: 201,473.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,777.39 : 622,264.50 = 134,294.64 : x
  2. Step 2: Convert to fraction form
    414,777.39/622,264.50 = 134,294.64/x
  3. Step 3: Cross multiply
    414,777.39x = 622,264.50 × 134,294.64
  4. Step 4: Simplify right side
    414,777.39x = 83,566,787,012.28
  5. Step 5: Solve for x
    x = 83,566,787,012.28/414,777.39
  6. Step 6: Final answer
    x = 201,473.82

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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.