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Finding the Fourth Proportional to 461,082.52, 691,659.42 and 176,909.08

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Solution

The fourth proportional to 461,082.52, 691,659.42 and 176,909.08 is: 265,377.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,082.52 : 691,659.42 = 176,909.08 : x
  2. Step 2: Convert to fraction form
    461,082.52/691,659.42 = 176,909.08/x
  3. Step 3: Cross multiply
    461,082.52x = 691,659.42 × 176,909.08
  4. Step 4: Simplify right side
    461,082.52x = 122,360,831,665.53
  5. Step 5: Solve for x
    x = 122,360,831,665.53/461,082.52
  6. Step 6: Final answer
    x = 265,377.29

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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.