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Finding the Fourth Proportional to 322,223.76, 483,340.50 and 111,868.38

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Solution

The fourth proportional to 322,223.76, 483,340.50 and 111,868.38 is: 167,804.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,223.76 : 483,340.50 = 111,868.38 : x
  2. Step 2: Convert to fraction form
    322,223.76/483,340.50 = 111,868.38/x
  3. Step 3: Cross multiply
    322,223.76x = 483,340.50 × 111,868.38
  4. Step 4: Simplify right side
    322,223.76x = 54,070,518,723.39
  5. Step 5: Solve for x
    x = 54,070,518,723.39/322,223.76
  6. Step 6: Final answer
    x = 167,804.26

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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.