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Finding the Fourth Proportional to 338,934, 467,728.92 and 188,032.08

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Solution

The fourth proportional to 338,934, 467,728.92 and 188,032.08 is: 259,484.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,934 : 467,728.92 = 188,032.08 : x
  2. Step 2: Convert to fraction form
    338,934/467,728.92 = 188,032.08/x
  3. Step 3: Cross multiply
    338,934x = 467,728.92 × 188,032.08
  4. Step 4: Simplify right side
    338,934x = 87,948,041,703.75
  5. Step 5: Solve for x
    x = 87,948,041,703.75/338,934
  6. Step 6: Final answer
    x = 259,484.27

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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.