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Finding the Fourth Proportional to 330,841.34, 456,414.63 and 203,441.66

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Solution

The fourth proportional to 330,841.34, 456,414.63 and 203,441.66 is: 280,659.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,841.34 : 456,414.63 = 203,441.66 : x
  2. Step 2: Convert to fraction form
    330,841.34/456,414.63 = 203,441.66/x
  3. Step 3: Cross multiply
    330,841.34x = 456,414.63 × 203,441.66
  4. Step 4: Simplify right side
    330,841.34x = 92,853,749,975.49
  5. Step 5: Solve for x
    x = 92,853,749,975.49/330,841.34
  6. Step 6: Final answer
    x = 280,659.45

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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.