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Finding the Fourth Proportional to 513,480.52, 708,364.44 and 332,250.88

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Solution

The fourth proportional to 513,480.52, 708,364.44 and 332,250.88 is: 458,351.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,480.52 : 708,364.44 = 332,250.88 : x
  2. Step 2: Convert to fraction form
    513,480.52/708,364.44 = 332,250.88/x
  3. Step 3: Cross multiply
    513,480.52x = 708,364.44 × 332,250.88
  4. Step 4: Simplify right side
    513,480.52x = 235,354,708,550.71
  5. Step 5: Solve for x
    x = 235,354,708,550.71/513,480.52
  6. Step 6: Final answer
    x = 458,351.78

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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.