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Finding the Fourth Proportional to 610,604.63, 842,082.94 and 381,183.20

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Solution

The fourth proportional to 610,604.63, 842,082.94 and 381,183.20 is: 525,688.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,604.63 : 842,082.94 = 381,183.20 : x
  2. Step 2: Convert to fraction form
    610,604.63/842,082.94 = 381,183.20/x
  3. Step 3: Cross multiply
    610,604.63x = 842,082.94 × 381,183.20
  4. Step 4: Simplify right side
    610,604.63x = 320,987,870,566.87
  5. Step 5: Solve for x
    x = 320,987,870,566.87/610,604.63
  6. Step 6: Final answer
    x = 525,688.56

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1.5x scale

Why These Related Problems?

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