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Finding the Fourth Proportional to 400,824.73, 553,118.38 and 219,537.46

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Solution

The fourth proportional to 400,824.73, 553,118.38 and 219,537.46 is: 302,950.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,824.73 : 553,118.38 = 219,537.46 : x
  2. Step 2: Convert to fraction form
    400,824.73/553,118.38 = 219,537.46/x
  3. Step 3: Cross multiply
    400,824.73x = 553,118.38 × 219,537.46
  4. Step 4: Simplify right side
    400,824.73x = 121,430,204,224.52
  5. Step 5: Solve for x
    x = 121,430,204,224.52/400,824.73
  6. Step 6: Final answer
    x = 302,950.88

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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.