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Finding the Fourth Proportional to 565,096.58, 847,651.44 and 165,745.32

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Solution

The fourth proportional to 565,096.58, 847,651.44 and 165,745.32 is: 248,619.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,096.58 : 847,651.44 = 165,745.32 : x
  2. Step 2: Convert to fraction form
    565,096.58/847,651.44 = 165,745.32/x
  3. Step 3: Cross multiply
    565,096.58x = 847,651.44 × 165,745.32
  4. Step 4: Simplify right side
    565,096.58x = 140,494,259,171.26
  5. Step 5: Solve for x
    x = 140,494,259,171.26/565,096.58
  6. Step 6: Final answer
    x = 248,619.91

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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.