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Finding the Fourth Proportional to 472,717.50, 709,082.43 and 157,174.41

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Solution

The fourth proportional to 472,717.50, 709,082.43 and 157,174.41 is: 235,763.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,717.50 : 709,082.43 = 157,174.41 : x
  2. Step 2: Convert to fraction form
    472,717.50/709,082.43 = 157,174.41/x
  3. Step 3: Cross multiply
    472,717.50x = 709,082.43 × 157,174.41
  4. Step 4: Simplify right side
    472,717.50x = 111,449,612,576.62
  5. Step 5: Solve for x
    x = 111,449,612,576.62/472,717.50
  6. Step 6: Final answer
    x = 235,763.67

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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.