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Finding the Fourth Proportional to 329,048.46, 454,045.12 and 193,032.78

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Solution

The fourth proportional to 329,048.46, 454,045.12 and 193,032.78 is: 266,360.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,048.46 : 454,045.12 = 193,032.78 : x
  2. Step 2: Convert to fraction form
    329,048.46/454,045.12 = 193,032.78/x
  3. Step 3: Cross multiply
    329,048.46x = 454,045.12 × 193,032.78
  4. Step 4: Simplify right side
    329,048.46x = 87,645,591,759.03
  5. Step 5: Solve for x
    x = 87,645,591,759.03/329,048.46
  6. Step 6: Final answer
    x = 266,360.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.