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Finding the Fourth Proportional to 587,057.78, 810,142.92 and 332,458.58

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Solution

The fourth proportional to 587,057.78, 810,142.92 and 332,458.58 is: 458,794.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,057.78 : 810,142.92 = 332,458.58 : x
  2. Step 2: Convert to fraction form
    587,057.78/810,142.92 = 332,458.58/x
  3. Step 3: Cross multiply
    587,057.78x = 810,142.92 × 332,458.58
  4. Step 4: Simplify right side
    587,057.78x = 269,338,964,780.25
  5. Step 5: Solve for x
    x = 269,338,964,780.25/587,057.78
  6. Step 6: Final answer
    x = 458,794.64

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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.