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Finding the Fourth Proportional to 294,205.96, 441,374.51 and 107,217.46

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Solution

The fourth proportional to 294,205.96, 441,374.51 and 107,217.46 is: 160,850.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,205.96 : 441,374.51 = 107,217.46 : x
  2. Step 2: Convert to fraction form
    294,205.96/441,374.51 = 107,217.46/x
  3. Step 3: Cross multiply
    294,205.96x = 441,374.51 × 107,217.46
  4. Step 4: Simplify right side
    294,205.96x = 47,323,053,870.94
  5. Step 5: Solve for x
    x = 47,323,053,870.94/294,205.96
  6. Step 6: Final answer
    x = 160,850.09

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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.