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Finding the Fourth Proportional to 329,677.38, 494,590.66 and 105,050.61

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Solution

The fourth proportional to 329,677.38, 494,590.66 and 105,050.61 is: 157,599.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,677.38 : 494,590.66 = 105,050.61 : x
  2. Step 2: Convert to fraction form
    329,677.38/494,590.66 = 105,050.61/x
  3. Step 3: Cross multiply
    329,677.38x = 494,590.66 × 105,050.61
  4. Step 4: Simplify right side
    329,677.38x = 51,957,050,270.68
  5. Step 5: Solve for x
    x = 51,957,050,270.68/329,677.38
  6. Step 6: Final answer
    x = 157,599.68

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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.