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Finding the Fourth Proportional to 367,412.82, 550,868.67 and 187,054.98

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Solution

The fourth proportional to 367,412.82, 550,868.67 and 187,054.98 is: 280,454.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,412.82 : 550,868.67 = 187,054.98 : x
  2. Step 2: Convert to fraction form
    367,412.82/550,868.67 = 187,054.98/x
  3. Step 3: Cross multiply
    367,412.82x = 550,868.67 × 187,054.98
  4. Step 4: Simplify right side
    367,412.82x = 103,042,728,049.48
  5. Step 5: Solve for x
    x = 103,042,728,049.48/367,412.82
  6. Step 6: Final answer
    x = 280,454.91

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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.