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Finding the Fourth Proportional to 402,634.29, 603,508.46 and 165,847.80

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Solution

The fourth proportional to 402,634.29, 603,508.46 and 165,847.80 is: 248,589.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,634.29 : 603,508.46 = 165,847.80 : x
  2. Step 2: Convert to fraction form
    402,634.29/603,508.46 = 165,847.80/x
  3. Step 3: Cross multiply
    402,634.29x = 603,508.46 × 165,847.80
  4. Step 4: Simplify right side
    402,634.29x = 100,090,551,806.31
  5. Step 5: Solve for x
    x = 100,090,551,806.31/402,634.29
  6. Step 6: Final answer
    x = 248,589.24

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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.