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Finding the Fourth Proportional to 363,611.50, 501,779.13 and 200,264.90

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Solution

The fourth proportional to 363,611.50, 501,779.13 and 200,264.90 is: 276,362.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,611.50 : 501,779.13 = 200,264.90 : x
  2. Step 2: Convert to fraction form
    363,611.50/501,779.13 = 200,264.90/x
  3. Step 3: Cross multiply
    363,611.50x = 501,779.13 × 200,264.90
  4. Step 4: Simplify right side
    363,611.50x = 100,488,747,064.59
  5. Step 5: Solve for x
    x = 100,488,747,064.59/363,611.50
  6. Step 6: Final answer
    x = 276,362.95

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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.