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Finding the Fourth Proportional to 330,845, 496,099.83 and 141,275.84

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Solution

The fourth proportional to 330,845, 496,099.83 and 141,275.84 is: 211,842.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,845 : 496,099.83 = 141,275.84 : x
  2. Step 2: Convert to fraction form
    330,845/496,099.83 = 141,275.84/x
  3. Step 3: Cross multiply
    330,845x = 496,099.83 × 141,275.84
  4. Step 4: Simplify right side
    330,845x = 70,086,920,207.11
  5. Step 5: Solve for x
    x = 70,086,920,207.11/330,845
  6. Step 6: Final answer
    x = 211,842.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.