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Finding the Fourth Proportional to 363,813.18, 502,099.12 and 202,694.46

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Solution

The fourth proportional to 363,813.18, 502,099.12 and 202,694.46 is: 279,738.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,813.18 : 502,099.12 = 202,694.46 : x
  2. Step 2: Convert to fraction form
    363,813.18/502,099.12 = 202,694.46/x
  3. Step 3: Cross multiply
    363,813.18x = 502,099.12 × 202,694.46
  4. Step 4: Simplify right side
    363,813.18x = 101,772,706,977.64
  5. Step 5: Solve for x
    x = 101,772,706,977.64/363,813.18
  6. Step 6: Final answer
    x = 279,738.93

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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.