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Finding the Fourth Proportional to 400,675.84, 552,932.58 and 219,387.74

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Solution

The fourth proportional to 400,675.84, 552,932.58 and 219,387.74 is: 302,755.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,675.84 : 552,932.58 = 219,387.74 : x
  2. Step 2: Convert to fraction form
    400,675.84/552,932.58 = 219,387.74/x
  3. Step 3: Cross multiply
    400,675.84x = 552,932.58 × 219,387.74
  4. Step 4: Simplify right side
    400,675.84x = 121,306,629,098.57
  5. Step 5: Solve for x
    x = 121,306,629,098.57/400,675.84
  6. Step 6: Final answer
    x = 302,755.04

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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.