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Finding the Fourth Proportional to 289,286.40, 433,994.40 and 111,777.60

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Solution

The fourth proportional to 289,286.40, 433,994.40 and 111,777.60 is: 167,691.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,286.40 : 433,994.40 = 111,777.60 : x
  2. Step 2: Convert to fraction form
    289,286.40/433,994.40 = 111,777.60/x
  3. Step 3: Cross multiply
    289,286.40x = 433,994.40 × 111,777.60
  4. Step 4: Simplify right side
    289,286.40x = 48,510,852,445.44
  5. Step 5: Solve for x
    x = 48,510,852,445.44/289,286.40
  6. Step 6: Final answer
    x = 167,691.44

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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.