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Finding the Fourth Proportional to 289,304.50, 433,746.56 and 120,872.99

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Solution

The fourth proportional to 289,304.50, 433,746.56 and 120,872.99 is: 181,221.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,304.50 : 433,746.56 = 120,872.99 : x
  2. Step 2: Convert to fraction form
    289,304.50/433,746.56 = 120,872.99/x
  3. Step 3: Cross multiply
    289,304.50x = 433,746.56 × 120,872.99
  4. Step 4: Simplify right side
    289,304.50x = 52,428,244,316.05
  5. Step 5: Solve for x
    x = 52,428,244,316.05/289,304.50
  6. Step 6: Final answer
    x = 181,221.67

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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.