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Finding the Fourth Proportional to 526,202.40, 788,785.20 and 259,744.80

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Solution

The fourth proportional to 526,202.40, 788,785.20 and 259,744.80 is: 389,361.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,202.40 : 788,785.20 = 259,744.80 : x
  2. Step 2: Convert to fraction form
    526,202.40/788,785.20 = 259,744.80/x
  3. Step 3: Cross multiply
    526,202.40x = 788,785.20 × 259,744.80
  4. Step 4: Simplify right side
    526,202.40x = 204,882,854,016.96
  5. Step 5: Solve for x
    x = 204,882,854,016.96/526,202.40
  6. Step 6: Final answer
    x = 389,361.31

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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.