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Finding the Fourth Proportional to 329,731.84, 455,036.16 and 202,343.68

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Solution

The fourth proportional to 329,731.84, 455,036.16 and 202,343.68 is: 279,238.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,731.84 : 455,036.16 = 202,343.68 : x
  2. Step 2: Convert to fraction form
    329,731.84/455,036.16 = 202,343.68/x
  3. Step 3: Cross multiply
    329,731.84x = 455,036.16 × 202,343.68
  4. Step 4: Simplify right side
    329,731.84x = 92,073,691,147.47
  5. Step 5: Solve for x
    x = 92,073,691,147.47/329,731.84
  6. Step 6: Final answer
    x = 279,238.10

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