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Finding the Fourth Proportional to 409,952.92, 614,896.56 and 182,319.02

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Solution

The fourth proportional to 409,952.92, 614,896.56 and 182,319.02 is: 273,463.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,952.92 : 614,896.56 = 182,319.02 : x
  2. Step 2: Convert to fraction form
    409,952.92/614,896.56 = 182,319.02/x
  3. Step 3: Cross multiply
    409,952.92x = 614,896.56 × 182,319.02
  4. Step 4: Simplify right side
    409,952.92x = 112,107,338,220.57
  5. Step 5: Solve for x
    x = 112,107,338,220.57/409,952.92
  6. Step 6: Final answer
    x = 273,463.93

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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.