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Finding the Fourth Proportional to 289,675.20, 434,512.80 and 76,442.70

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Solution

The fourth proportional to 289,675.20, 434,512.80 and 76,442.70 is: 114,664.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,675.20 : 434,512.80 = 76,442.70 : x
  2. Step 2: Convert to fraction form
    289,675.20/434,512.80 = 76,442.70/x
  3. Step 3: Cross multiply
    289,675.20x = 434,512.80 × 76,442.70
  4. Step 4: Simplify right side
    289,675.20x = 33,215,331,616.56
  5. Step 5: Solve for x
    x = 33,215,331,616.56/289,675.20
  6. Step 6: Final answer
    x = 114,664.05

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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.