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Finding the Fourth Proportional to 329,515.84, 454,461.12 and 202,101.76

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Solution

The fourth proportional to 329,515.84, 454,461.12 and 202,101.76 is: 278,734.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,515.84 : 454,461.12 = 202,101.76 : x
  2. Step 2: Convert to fraction form
    329,515.84/454,461.12 = 202,101.76/x
  3. Step 3: Cross multiply
    329,515.84x = 454,461.12 × 202,101.76
  4. Step 4: Simplify right side
    329,515.84x = 91,847,392,203.57
  5. Step 5: Solve for x
    x = 91,847,392,203.57/329,515.84
  6. Step 6: Final answer
    x = 278,734.38

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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.