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Finding the Fourth Proportional to 472,498.44, 707,958.68 and 332,005.56

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Solution

The fourth proportional to 472,498.44, 707,958.68 and 332,005.56 is: 497,453.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,498.44 : 707,958.68 = 332,005.56 : x
  2. Step 2: Convert to fraction form
    472,498.44/707,958.68 = 332,005.56/x
  3. Step 3: Cross multiply
    472,498.44x = 707,958.68 × 332,005.56
  4. Step 4: Simplify right side
    472,498.44x = 235,046,218,010.26
  5. Step 5: Solve for x
    x = 235,046,218,010.26/472,498.44
  6. Step 6: Final answer
    x = 497,453.96

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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.