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Finding the Fourth Proportional to 433,870.64, 650,556.78 and 231,217.24

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Solution

The fourth proportional to 433,870.64, 650,556.78 and 231,217.24 is: 346,693.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,870.64 : 650,556.78 = 231,217.24 : x
  2. Step 2: Convert to fraction form
    433,870.64/650,556.78 = 231,217.24/x
  3. Step 3: Cross multiply
    433,870.64x = 650,556.78 × 231,217.24
  4. Step 4: Simplify right side
    433,870.64x = 150,419,943,134.89
  5. Step 5: Solve for x
    x = 150,419,943,134.89/433,870.64
  6. Step 6: Final answer
    x = 346,693.07

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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.