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Finding the Fourth Proportional to 329,002.84, 454,032.66 and 199,897.48

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Solution

The fourth proportional to 329,002.84, 454,032.66 and 199,897.48 is: 275,863.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,002.84 : 454,032.66 = 199,897.48 : x
  2. Step 2: Convert to fraction form
    329,002.84/454,032.66 = 199,897.48/x
  3. Step 3: Cross multiply
    329,002.84x = 454,032.66 × 199,897.48
  4. Step 4: Simplify right side
    329,002.84x = 90,759,984,571.70
  5. Step 5: Solve for x
    x = 90,759,984,571.70/329,002.84
  6. Step 6: Final answer
    x = 275,863.83

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1.5x scale

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.