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Finding the Fourth Proportional to 633,082.37, 873,651.34 and 361,149.78

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Solution

The fourth proportional to 633,082.37, 873,651.34 and 361,149.78 is: 498,385.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,082.37 : 873,651.34 = 361,149.78 : x
  2. Step 2: Convert to fraction form
    633,082.37/873,651.34 = 361,149.78/x
  3. Step 3: Cross multiply
    633,082.37x = 873,651.34 × 361,149.78
  4. Step 4: Simplify right side
    633,082.37x = 315,518,989,237.71
  5. Step 5: Solve for x
    x = 315,518,989,237.71/633,082.37
  6. Step 6: Final answer
    x = 498,385.37

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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.