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Finding the Fourth Proportional to 465,487.40, 698,576.70 and 185,205.80

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Solution

The fourth proportional to 465,487.40, 698,576.70 and 185,205.80 is: 277,946.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,487.40 : 698,576.70 = 185,205.80 : x
  2. Step 2: Convert to fraction form
    465,487.40/698,576.70 = 185,205.80/x
  3. Step 3: Cross multiply
    465,487.40x = 698,576.70 × 185,205.80
  4. Step 4: Simplify right side
    465,487.40x = 129,380,456,584.86
  5. Step 5: Solve for x
    x = 129,380,456,584.86/465,487.40
  6. Step 6: Final answer
    x = 277,946.21

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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.