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Finding the Fourth Proportional to 465,476.39, 698,269.26 and 165,999.54

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Solution

The fourth proportional to 465,476.39, 698,269.26 and 165,999.54 is: 249,018.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,476.39 : 698,269.26 = 165,999.54 : x
  2. Step 2: Convert to fraction form
    465,476.39/698,269.26 = 165,999.54/x
  3. Step 3: Cross multiply
    465,476.39x = 698,269.26 × 165,999.54
  4. Step 4: Simplify right side
    465,476.39x = 115,912,375,956.14
  5. Step 5: Solve for x
    x = 115,912,375,956.14/465,476.39
  6. Step 6: Final answer
    x = 249,018.81

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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.