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Finding the Fourth Proportional to 322,005.77, 483,230.10 and 111,643.71

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Solution

The fourth proportional to 322,005.77, 483,230.10 and 111,643.71 is: 167,542.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,005.77 : 483,230.10 = 111,643.71 : x
  2. Step 2: Convert to fraction form
    322,005.77/483,230.10 = 111,643.71/x
  3. Step 3: Cross multiply
    322,005.77x = 483,230.10 × 111,643.71
  4. Step 4: Simplify right side
    322,005.77x = 53,949,601,147.67
  5. Step 5: Solve for x
    x = 53,949,601,147.67/322,005.77
  6. Step 6: Final answer
    x = 167,542.35

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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.