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Finding the Fourth Proportional to 496,003.53, 684,538.38 and 281,120.52

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Solution

The fourth proportional to 496,003.53, 684,538.38 and 281,120.52 is: 387,976.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,003.53 : 684,538.38 = 281,120.52 : x
  2. Step 2: Convert to fraction form
    496,003.53/684,538.38 = 281,120.52/x
  3. Step 3: Cross multiply
    496,003.53x = 684,538.38 × 281,120.52
  4. Step 4: Simplify right side
    496,003.53x = 192,437,785,345.56
  5. Step 5: Solve for x
    x = 192,437,785,345.56/496,003.53
  6. Step 6: Final answer
    x = 387,976.64

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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.