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Finding the Fourth Proportional to 414,364.64, 621,550.56 and 133,881.92

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Solution

The fourth proportional to 414,364.64, 621,550.56 and 133,881.92 is: 200,824.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,364.64 : 621,550.56 = 133,881.92 : x
  2. Step 2: Convert to fraction form
    414,364.64/621,550.56 = 133,881.92/x
  3. Step 3: Cross multiply
    414,364.64x = 621,550.56 × 133,881.92
  4. Step 4: Simplify right side
    414,364.64x = 83,214,382,349.88
  5. Step 5: Solve for x
    x = 83,214,382,349.88/414,364.64
  6. Step 6: Final answer
    x = 200,824.04

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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.