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Finding the Fourth Proportional to 415,196.40, 622,794.60 and 332,252.40

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Solution

The fourth proportional to 415,196.40, 622,794.60 and 332,252.40 is: 498,378.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,196.40 : 622,794.60 = 332,252.40 : x
  2. Step 2: Convert to fraction form
    415,196.40/622,794.60 = 332,252.40/x
  3. Step 3: Cross multiply
    415,196.40x = 622,794.60 × 332,252.40
  4. Step 4: Simplify right side
    415,196.40x = 206,925,000,557.04
  5. Step 5: Solve for x
    x = 206,925,000,557.04/415,196.40
  6. Step 6: Final answer
    x = 498,378.60

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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.