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Finding the Fourth Proportional to 322,815, 484,300.32 and 101,199

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Solution

The fourth proportional to 322,815, 484,300.32 and 101,199 is: 151,822.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,815 : 484,300.32 = 101,199 : x
  2. Step 2: Convert to fraction form
    322,815/484,300.32 = 101,199/x
  3. Step 3: Cross multiply
    322,815x = 484,300.32 × 101,199
  4. Step 4: Simplify right side
    322,815x = 49,010,708,083.68
  5. Step 5: Solve for x
    x = 49,010,708,083.68/322,815
  6. Step 6: Final answer
    x = 151,822.90

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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.