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Finding the Fourth Proportional to 465,469.32, 698,258.66 and 165,992.48

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Solution

The fourth proportional to 465,469.32, 698,258.66 and 165,992.48 is: 249,008.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,469.32 : 698,258.66 = 165,992.48 : x
  2. Step 2: Convert to fraction form
    465,469.32/698,258.66 = 165,992.48/x
  3. Step 3: Cross multiply
    465,469.32x = 698,258.66 × 165,992.48
  4. Step 4: Simplify right side
    465,469.32x = 115,905,686,654.88
  5. Step 5: Solve for x
    x = 115,905,686,654.88/465,469.32
  6. Step 6: Final answer
    x = 249,008.22

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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.