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Finding the Fourth Proportional to 363,827.80, 502,091.22 and 202,685.50

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Solution

The fourth proportional to 363,827.80, 502,091.22 and 202,685.50 is: 279,710.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,827.80 : 502,091.22 = 202,685.50 : x
  2. Step 2: Convert to fraction form
    363,827.80/502,091.22 = 202,685.50/x
  3. Step 3: Cross multiply
    363,827.80x = 502,091.22 × 202,685.50
  4. Step 4: Simplify right side
    363,827.80x = 101,766,609,971.31
  5. Step 5: Solve for x
    x = 101,766,609,971.31/363,827.80
  6. Step 6: Final answer
    x = 279,710.92

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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.