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Finding the Fourth Proportional to 465,467.80, 698,201.70 and 165,958.15

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Solution

The fourth proportional to 465,467.80, 698,201.70 and 165,958.15 is: 248,937.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,467.80 : 698,201.70 = 165,958.15 : x
  2. Step 2: Convert to fraction form
    465,467.80/698,201.70 = 165,958.15/x
  3. Step 3: Cross multiply
    465,467.80x = 698,201.70 × 165,958.15
  4. Step 4: Simplify right side
    465,467.80x = 115,872,262,458.86
  5. Step 5: Solve for x
    x = 115,872,262,458.86/465,467.80
  6. Step 6: Final answer
    x = 248,937.23

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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.