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Finding the Fourth Proportional to 329,654.61, 494,556.48 and 105,027.84

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Solution

The fourth proportional to 329,654.61, 494,556.48 and 105,027.84 is: 157,565.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,654.61 : 494,556.48 = 105,027.84 : x
  2. Step 2: Convert to fraction form
    329,654.61/494,556.48 = 105,027.84/x
  3. Step 3: Cross multiply
    329,654.61x = 494,556.48 × 105,027.84
  4. Step 4: Simplify right side
    329,654.61x = 51,942,198,852.40
  5. Step 5: Solve for x
    x = 51,942,198,852.40/329,654.61
  6. Step 6: Final answer
    x = 157,565.52

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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.