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Finding the Fourth Proportional to 856,008.80, 1,284,013.20 and 413,640.80

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Solution

The fourth proportional to 856,008.80, 1,284,013.20 and 413,640.80 is: 620,461.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,008.80 : 1,284,013.20 = 413,640.80 : x
  2. Step 2: Convert to fraction form
    856,008.80/1,284,013.20 = 413,640.80/x
  3. Step 3: Cross multiply
    856,008.80x = 1,284,013.20 × 413,640.80
  4. Step 4: Simplify right side
    856,008.80x = 531,120,247,258.56
  5. Step 5: Solve for x
    x = 531,120,247,258.56/856,008.80
  6. Step 6: Final answer
    x = 620,461.20

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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.