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Finding the Fourth Proportional to 414,857.52, 621,761.40 and 265,039.92

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Solution

The fourth proportional to 414,857.52, 621,761.40 and 265,039.92 is: 397,224.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,857.52 : 621,761.40 = 265,039.92 : x
  2. Step 2: Convert to fraction form
    414,857.52/621,761.40 = 265,039.92/x
  3. Step 3: Cross multiply
    414,857.52x = 621,761.40 × 265,039.92
  4. Step 4: Simplify right side
    414,857.52x = 164,791,591,715.09
  5. Step 5: Solve for x
    x = 164,791,591,715.09/414,857.52
  6. Step 6: Final answer
    x = 397,224.55

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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.