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Finding the Fourth Proportional to 401,519.54, 601,227.15 and 282,546.74

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Solution

The fourth proportional to 401,519.54, 601,227.15 and 282,546.74 is: 423,079.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,519.54 : 601,227.15 = 282,546.74 : x
  2. Step 2: Convert to fraction form
    401,519.54/601,227.15 = 282,546.74/x
  3. Step 3: Cross multiply
    401,519.54x = 601,227.15 × 282,546.74
  4. Step 4: Simplify right side
    401,519.54x = 169,874,771,231.99
  5. Step 5: Solve for x
    x = 169,874,771,231.99/401,519.54
  6. Step 6: Final answer
    x = 423,079.71

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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.