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Finding the Fourth Proportional to 523,786.50, 722,825.37 and 285,322.50

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Solution

The fourth proportional to 523,786.50, 722,825.37 and 285,322.50 is: 393,745.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,786.50 : 722,825.37 = 285,322.50 : x
  2. Step 2: Convert to fraction form
    523,786.50/722,825.37 = 285,322.50/x
  3. Step 3: Cross multiply
    523,786.50x = 722,825.37 × 285,322.50
  4. Step 4: Simplify right side
    523,786.50x = 206,238,341,631.83
  5. Step 5: Solve for x
    x = 206,238,341,631.83/523,786.50
  6. Step 6: Final answer
    x = 393,745.05

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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.