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Finding the Fourth Proportional to 329,877.66, 494,865.10 and 119,466.40

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Solution

The fourth proportional to 329,877.66, 494,865.10 and 119,466.40 is: 179,217.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,877.66 : 494,865.10 = 119,466.40 : x
  2. Step 2: Convert to fraction form
    329,877.66/494,865.10 = 119,466.40/x
  3. Step 3: Cross multiply
    329,877.66x = 494,865.10 × 119,466.40
  4. Step 4: Simplify right side
    329,877.66x = 59,119,751,982.64
  5. Step 5: Solve for x
    x = 59,119,751,982.64/329,877.66
  6. Step 6: Final answer
    x = 179,217.20

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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.