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Finding the Fourth Proportional to 513,083.32, 769,750.39 and 361,575.92

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Solution

The fourth proportional to 513,083.32, 769,750.39 and 361,575.92 is: 542,452.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,083.32 : 769,750.39 = 361,575.92 : x
  2. Step 2: Convert to fraction form
    513,083.32/769,750.39 = 361,575.92/x
  3. Step 3: Cross multiply
    513,083.32x = 769,750.39 × 361,575.92
  4. Step 4: Simplify right side
    513,083.32x = 278,323,207,810.96
  5. Step 5: Solve for x
    x = 278,323,207,810.96/513,083.32
  6. Step 6: Final answer
    x = 542,452.27

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1.5x scale

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.