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Finding the Fourth Proportional to 513,498.39, 708,388.98 and 332,268.82

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Solution

The fourth proportional to 513,498.39, 708,388.98 and 332,268.82 is: 458,376.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,498.39 : 708,388.98 = 332,268.82 : x
  2. Step 2: Convert to fraction form
    513,498.39/708,388.98 = 332,268.82/x
  3. Step 3: Cross multiply
    513,498.39x = 708,388.98 × 332,268.82
  4. Step 4: Simplify right side
    513,498.39x = 235,375,567,468.62
  5. Step 5: Solve for x
    x = 235,375,567,468.62/513,498.39
  6. Step 6: Final answer
    x = 458,376.45

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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.