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Finding the Fourth Proportional to 322,154.46, 444,795.54 and 201,350.04

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Solution

The fourth proportional to 322,154.46, 444,795.54 and 201,350.04 is: 278,002.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,154.46 : 444,795.54 = 201,350.04 : x
  2. Step 2: Convert to fraction form
    322,154.46/444,795.54 = 201,350.04/x
  3. Step 3: Cross multiply
    322,154.46x = 444,795.54 × 201,350.04
  4. Step 4: Simplify right side
    322,154.46x = 89,559,599,770.82
  5. Step 5: Solve for x
    x = 89,559,599,770.82/322,154.46
  6. Step 6: Final answer
    x = 278,002.05

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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.