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Finding the Fourth Proportional to 401,236.91, 601,934.18 and 148,519.49

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Solution

The fourth proportional to 401,236.91, 601,934.18 and 148,519.49 is: 222,808.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,236.91 : 601,934.18 = 148,519.49 : x
  2. Step 2: Convert to fraction form
    401,236.91/601,934.18 = 148,519.49/x
  3. Step 3: Cross multiply
    401,236.91x = 601,934.18 × 148,519.49
  4. Step 4: Simplify right side
    401,236.91x = 89,398,958,189.41
  5. Step 5: Solve for x
    x = 89,398,958,189.41/401,236.91
  6. Step 6: Final answer
    x = 222,808.41

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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.