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Finding the Fourth Proportional to 289,365.52, 434,713.50 and 204,172.46

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Solution

The fourth proportional to 289,365.52, 434,713.50 and 204,172.46 is: 306,728.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,365.52 : 434,713.50 = 204,172.46 : x
  2. Step 2: Convert to fraction form
    289,365.52/434,713.50 = 204,172.46/x
  3. Step 3: Cross multiply
    289,365.52x = 434,713.50 × 204,172.46
  4. Step 4: Simplify right side
    289,365.52x = 88,756,524,690.21
  5. Step 5: Solve for x
    x = 88,756,524,690.21/289,365.52
  6. Step 6: Final answer
    x = 306,728.06

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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.