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Finding the Fourth Proportional to 642,142.20, 886,107.42 and 355,656.12

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Solution

The fourth proportional to 642,142.20, 886,107.42 and 355,656.12 is: 490,778.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,142.20 : 886,107.42 = 355,656.12 : x
  2. Step 2: Convert to fraction form
    642,142.20/886,107.42 = 355,656.12/x
  3. Step 3: Cross multiply
    642,142.20x = 886,107.42 × 355,656.12
  4. Step 4: Simplify right side
    642,142.20x = 315,149,526,900.41
  5. Step 5: Solve for x
    x = 315,149,526,900.41/642,142.20
  6. Step 6: Final answer
    x = 490,778.41

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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.