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Finding the Fourth Proportional to 329,432.70, 494,149.05 and 92,783.10

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Solution

The fourth proportional to 329,432.70, 494,149.05 and 92,783.10 is: 139,174.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,432.70 : 494,149.05 = 92,783.10 : x
  2. Step 2: Convert to fraction form
    329,432.70/494,149.05 = 92,783.10/x
  3. Step 3: Cross multiply
    329,432.70x = 494,149.05 × 92,783.10
  4. Step 4: Simplify right side
    329,432.70x = 45,848,680,721.06
  5. Step 5: Solve for x
    x = 45,848,680,721.06/329,432.70
  6. Step 6: Final answer
    x = 139,174.65

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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.