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Finding the Fourth Proportional to 342,162.80, 513,244.20 and 325,833.20

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Solution

The fourth proportional to 342,162.80, 513,244.20 and 325,833.20 is: 488,749.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,162.80 : 513,244.20 = 325,833.20 : x
  2. Step 2: Convert to fraction form
    342,162.80/513,244.20 = 325,833.20/x
  3. Step 3: Cross multiply
    342,162.80x = 513,244.20 × 325,833.20
  4. Step 4: Simplify right side
    342,162.80x = 167,232,000,067.44
  5. Step 5: Solve for x
    x = 167,232,000,067.44/342,162.80
  6. Step 6: Final answer
    x = 488,749.80

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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.