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Finding the Fourth Proportional to 465,795.20, 698,840.52 and 166,269.20

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Solution

The fourth proportional to 465,795.20, 698,840.52 and 166,269.20 is: 249,456.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,795.20 : 698,840.52 = 166,269.20 : x
  2. Step 2: Convert to fraction form
    465,795.20/698,840.52 = 166,269.20/x
  3. Step 3: Cross multiply
    465,795.20x = 698,840.52 × 166,269.20
  4. Step 4: Simplify right side
    465,795.20x = 116,195,654,187.98
  5. Step 5: Solve for x
    x = 116,195,654,187.98/465,795.20
  6. Step 6: Final answer
    x = 249,456.53

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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.