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Finding the Fourth Proportional to 465,711.88, 698,245.03 and 237,564.45

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Solution

The fourth proportional to 465,711.88, 698,245.03 and 237,564.45 is: 356,182.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,711.88 : 698,245.03 = 237,564.45 : x
  2. Step 2: Convert to fraction form
    465,711.88/698,245.03 = 237,564.45/x
  3. Step 3: Cross multiply
    465,711.88x = 698,245.03 × 237,564.45
  4. Step 4: Simplify right side
    465,711.88x = 165,878,196,517.18
  5. Step 5: Solve for x
    x = 165,878,196,517.18/465,711.88
  6. Step 6: Final answer
    x = 356,182.02

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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.