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Finding the Fourth Proportional to 289,611.30, 433,542.15 and 254,619.30

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Solution

The fourth proportional to 289,611.30, 433,542.15 and 254,619.30 is: 381,159.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,611.30 : 433,542.15 = 254,619.30 : x
  2. Step 2: Convert to fraction form
    289,611.30/433,542.15 = 254,619.30/x
  3. Step 3: Cross multiply
    289,611.30x = 433,542.15 × 254,619.30
  4. Step 4: Simplify right side
    289,611.30x = 110,388,198,753.50
  5. Step 5: Solve for x
    x = 110,388,198,753.50/289,611.30
  6. Step 6: Final answer
    x = 381,159.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.