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Finding the Fourth Proportional to 290,962.41, 401,524.25 and 163,638

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Solution

The fourth proportional to 290,962.41, 401,524.25 and 163,638 is: 225,818.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,962.41 : 401,524.25 = 163,638 : x
  2. Step 2: Convert to fraction form
    290,962.41/401,524.25 = 163,638/x
  3. Step 3: Cross multiply
    290,962.41x = 401,524.25 × 163,638
  4. Step 4: Simplify right side
    290,962.41x = 65,704,625,221.50
  5. Step 5: Solve for x
    x = 65,704,625,221.50/290,962.41
  6. Step 6: Final answer
    x = 225,818.26

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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.