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Finding the Fourth Proportional to 322,146.34, 444,784.34 and 201,341.92

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Solution

The fourth proportional to 322,146.34, 444,784.34 and 201,341.92 is: 277,990.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,146.34 : 444,784.34 = 201,341.92 : x
  2. Step 2: Convert to fraction form
    322,146.34/444,784.34 = 201,341.92/x
  3. Step 3: Cross multiply
    322,146.34x = 444,784.34 × 201,341.92
  4. Step 4: Simplify right side
    322,146.34x = 89,553,733,001.53
  5. Step 5: Solve for x
    x = 89,553,733,001.53/322,146.34
  6. Step 6: Final answer
    x = 277,990.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.