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Finding the Fourth Proportional to 329,772.83, 494,324.92 and 130,233.79

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Solution

The fourth proportional to 329,772.83, 494,324.92 and 130,233.79 is: 195,218.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,772.83 : 494,324.92 = 130,233.79 : x
  2. Step 2: Convert to fraction form
    329,772.83/494,324.92 = 130,233.79/x
  3. Step 3: Cross multiply
    329,772.83x = 494,324.92 × 130,233.79
  4. Step 4: Simplify right side
    329,772.83x = 64,377,804,700.25
  5. Step 5: Solve for x
    x = 64,377,804,700.25/329,772.83
  6. Step 6: Final answer
    x = 195,218.64

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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.