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Finding the Fourth Proportional to 409,659.82, 614,601.24 and 125,344.06

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Solution

The fourth proportional to 409,659.82, 614,601.24 and 125,344.06 is: 188,050.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,659.82 : 614,601.24 = 125,344.06 : x
  2. Step 2: Convert to fraction form
    409,659.82/614,601.24 = 125,344.06/x
  3. Step 3: Cross multiply
    409,659.82x = 614,601.24 × 125,344.06
  4. Step 4: Simplify right side
    409,659.82x = 77,036,614,702.63
  5. Step 5: Solve for x
    x = 77,036,614,702.63/409,659.82
  6. Step 6: Final answer
    x = 188,050.21

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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.