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Finding the Fourth Proportional to 289,234.70, 433,722.45 and 111,682.70

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Solution

The fourth proportional to 289,234.70, 433,722.45 and 111,682.70 is: 167,474.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,234.70 : 433,722.45 = 111,682.70 : x
  2. Step 2: Convert to fraction form
    289,234.70/433,722.45 = 111,682.70/x
  3. Step 3: Cross multiply
    289,234.70x = 433,722.45 × 111,682.70
  4. Step 4: Simplify right side
    289,234.70x = 48,439,294,266.62
  5. Step 5: Solve for x
    x = 48,439,294,266.62/289,234.70
  6. Step 6: Final answer
    x = 167,474.01

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Why These Related Problems?

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