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Finding the Fourth Proportional to 329,591.68, 454,802.88 and 202,272.64

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Solution

The fourth proportional to 329,591.68, 454,802.88 and 202,272.64 is: 279,115.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,591.68 : 454,802.88 = 202,272.64 : x
  2. Step 2: Convert to fraction form
    329,591.68/454,802.88 = 202,272.64/x
  3. Step 3: Cross multiply
    329,591.68x = 454,802.88 × 202,272.64
  4. Step 4: Simplify right side
    329,591.68x = 91,994,179,217.20
  5. Step 5: Solve for x
    x = 91,994,179,217.20/329,591.68
  6. Step 6: Final answer
    x = 279,115.60

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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.