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Finding the Fourth Proportional to 565,042.64, 847,682.42 and 165,650.87

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Solution

The fourth proportional to 565,042.64, 847,682.42 and 165,650.87 is: 248,511.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,042.64 : 847,682.42 = 165,650.87 : x
  2. Step 2: Convert to fraction form
    565,042.64/847,682.42 = 165,650.87/x
  3. Step 3: Cross multiply
    565,042.64x = 847,682.42 × 165,650.87
  4. Step 4: Simplify right side
    565,042.64x = 140,419,331,647.66
  5. Step 5: Solve for x
    x = 140,419,331,647.66/565,042.64
  6. Step 6: Final answer
    x = 248,511.04

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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.