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Finding the Fourth Proportional to 354,660.58, 489,430.56 and 193,514.50

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Solution

The fourth proportional to 354,660.58, 489,430.56 and 193,514.50 is: 267,049.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,660.58 : 489,430.56 = 193,514.50 : x
  2. Step 2: Convert to fraction form
    354,660.58/489,430.56 = 193,514.50/x
  3. Step 3: Cross multiply
    354,660.58x = 489,430.56 × 193,514.50
  4. Step 4: Simplify right side
    354,660.58x = 94,711,910,103.12
  5. Step 5: Solve for x
    x = 94,711,910,103.12/354,660.58
  6. Step 6: Final answer
    x = 267,049.44

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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.