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Finding the Fourth Proportional to 472,790.76, 709,082.28 and 135,756.24

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Solution

The fourth proportional to 472,790.76, 709,082.28 and 135,756.24 is: 203,604.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,790.76 : 709,082.28 = 135,756.24 : x
  2. Step 2: Convert to fraction form
    472,790.76/709,082.28 = 135,756.24/x
  3. Step 3: Cross multiply
    472,790.76x = 709,082.28 × 135,756.24
  4. Step 4: Simplify right side
    472,790.76x = 96,262,344,183.43
  5. Step 5: Solve for x
    x = 96,262,344,183.43/472,790.76
  6. Step 6: Final answer
    x = 203,604.54

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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.