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Finding the Fourth Proportional to 420,138.87, 579,791.30 and 229,151.67

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Solution

The fourth proportional to 420,138.87, 579,791.30 and 229,151.67 is: 316,229.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,138.87 : 579,791.30 = 229,151.67 : x
  2. Step 2: Convert to fraction form
    420,138.87/579,791.30 = 229,151.67/x
  3. Step 3: Cross multiply
    420,138.87x = 579,791.30 × 229,151.67
  4. Step 4: Simplify right side
    420,138.87x = 132,860,143,500.71
  5. Step 5: Solve for x
    x = 132,860,143,500.71/420,138.87
  6. Step 6: Final answer
    x = 316,229.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.