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Finding the Fourth Proportional to 409,409.50, 614,224.82 and 125,092.30

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Solution

The fourth proportional to 409,409.50, 614,224.82 and 125,092.30 is: 187,672.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,409.50 : 614,224.82 = 125,092.30 : x
  2. Step 2: Convert to fraction form
    409,409.50/614,224.82 = 125,092.30/x
  3. Step 3: Cross multiply
    409,409.50x = 614,224.82 × 125,092.30
  4. Step 4: Simplify right side
    409,409.50x = 76,834,795,450.89
  5. Step 5: Solve for x
    x = 76,834,795,450.89/409,409.50
  6. Step 6: Final answer
    x = 187,672.23

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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.