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Finding the Fourth Proportional to 469,350.56, 704,092.96 and 145,163.65

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Solution

The fourth proportional to 469,350.56, 704,092.96 and 145,163.65 is: 217,766.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,350.56 : 704,092.96 = 145,163.65 : x
  2. Step 2: Convert to fraction form
    469,350.56/704,092.96 = 145,163.65/x
  3. Step 3: Cross multiply
    469,350.56x = 704,092.96 × 145,163.65
  4. Step 4: Simplify right side
    469,350.56x = 102,208,700,492.44
  5. Step 5: Solve for x
    x = 102,208,700,492.44/469,350.56
  6. Step 6: Final answer
    x = 217,766.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.