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Finding the Fourth Proportional to 526,405.42, 726,446.56 and 296,962

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Solution

The fourth proportional to 526,405.42, 726,446.56 and 296,962 is: 409,811.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,405.42 : 726,446.56 = 296,962 : x
  2. Step 2: Convert to fraction form
    526,405.42/726,446.56 = 296,962/x
  3. Step 3: Cross multiply
    526,405.42x = 726,446.56 × 296,962
  4. Step 4: Simplify right side
    526,405.42x = 215,727,023,350.72
  5. Step 5: Solve for x
    x = 215,727,023,350.72/526,405.42
  6. Step 6: Final answer
    x = 409,811.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.