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Finding the Fourth Proportional to 465,806.40, 698,211.38 and 240,940.56

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Solution

The fourth proportional to 465,806.40, 698,211.38 and 240,940.56 is: 361,153.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,806.40 : 698,211.38 = 240,940.56 : x
  2. Step 2: Convert to fraction form
    465,806.40/698,211.38 = 240,940.56/x
  3. Step 3: Cross multiply
    465,806.40x = 698,211.38 × 240,940.56
  4. Step 4: Simplify right side
    465,806.40x = 168,227,440,895.57
  5. Step 5: Solve for x
    x = 168,227,440,895.57/465,806.40
  6. Step 6: Final answer
    x = 361,153.13

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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.