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Finding the Fourth Proportional to 614,847, 848,488.86 and 332,223

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Solution

The fourth proportional to 614,847, 848,488.86 and 332,223 is: 458,467.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,847 : 848,488.86 = 332,223 : x
  2. Step 2: Convert to fraction form
    614,847/848,488.86 = 332,223/x
  3. Step 3: Cross multiply
    614,847x = 848,488.86 × 332,223
  4. Step 4: Simplify right side
    614,847x = 281,887,514,535.78
  5. Step 5: Solve for x
    x = 281,887,514,535.78/614,847
  6. Step 6: Final answer
    x = 458,467.74

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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.