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Finding the Fourth Proportional to 465,713.65, 698,841.55 and 195,822.26

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Solution

The fourth proportional to 465,713.65, 698,841.55 and 195,822.26 is: 293,847.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,713.65 : 698,841.55 = 195,822.26 : x
  2. Step 2: Convert to fraction form
    465,713.65/698,841.55 = 195,822.26/x
  3. Step 3: Cross multiply
    465,713.65x = 698,841.55 × 195,822.26
  4. Step 4: Simplify right side
    465,713.65x = 136,848,730,523.38
  5. Step 5: Solve for x
    x = 136,848,730,523.38/465,713.65
  6. Step 6: Final answer
    x = 293,847.37

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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.