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Finding the Fourth Proportional to 347,105.46, 520,658.19 and 181,217.46

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Solution

The fourth proportional to 347,105.46, 520,658.19 and 181,217.46 is: 271,826.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,105.46 : 520,658.19 = 181,217.46 : x
  2. Step 2: Convert to fraction form
    347,105.46/520,658.19 = 181,217.46/x
  3. Step 3: Cross multiply
    347,105.46x = 520,658.19 × 181,217.46
  4. Step 4: Simplify right side
    347,105.46x = 94,352,354,720.00
  5. Step 5: Solve for x
    x = 94,352,354,720.00/347,105.46
  6. Step 6: Final answer
    x = 271,826.19

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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.