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Finding the Fourth Proportional to 329,008.84, 454,040.94 and 199,903.48

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Solution

The fourth proportional to 329,008.84, 454,040.94 and 199,903.48 is: 275,872.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,008.84 : 454,040.94 = 199,903.48 : x
  2. Step 2: Convert to fraction form
    329,008.84/454,040.94 = 199,903.48/x
  3. Step 3: Cross multiply
    329,008.84x = 454,040.94 × 199,903.48
  4. Step 4: Simplify right side
    329,008.84x = 90,764,363,968.47
  5. Step 5: Solve for x
    x = 90,764,363,968.47/329,008.84
  6. Step 6: Final answer
    x = 275,872.11

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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.