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Finding the Fourth Proportional to 461,324.90, 691,659.26 and 176,774.34

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Solution

The fourth proportional to 461,324.90, 691,659.26 and 176,774.34 is: 265,035.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,324.90 : 691,659.26 = 176,774.34 : x
  2. Step 2: Convert to fraction form
    461,324.90/691,659.26 = 176,774.34/x
  3. Step 3: Cross multiply
    461,324.90x = 691,659.26 × 176,774.34
  4. Step 4: Simplify right side
    461,324.90x = 122,267,609,191.39
  5. Step 5: Solve for x
    x = 122,267,609,191.39/461,324.90
  6. Step 6: Final answer
    x = 265,035.79

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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.