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Finding the Fourth Proportional to 332,415.68, 458,474.88 and 294,216.32

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Solution

The fourth proportional to 332,415.68, 458,474.88 and 294,216.32 is: 405,789.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,415.68 : 458,474.88 = 294,216.32 : x
  2. Step 2: Convert to fraction form
    332,415.68/458,474.88 = 294,216.32/x
  3. Step 3: Cross multiply
    332,415.68x = 458,474.88 × 294,216.32
  4. Step 4: Simplify right side
    332,415.68x = 134,890,792,006.04
  5. Step 5: Solve for x
    x = 134,890,792,006.04/332,415.68
  6. Step 6: Final answer
    x = 405,789.50

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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.