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Finding the Fourth Proportional to 365,467.60, 548,134.32 and 165,739.96

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Solution

The fourth proportional to 365,467.60, 548,134.32 and 165,739.96 is: 248,579.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,467.60 : 548,134.32 = 165,739.96 : x
  2. Step 2: Convert to fraction form
    365,467.60/548,134.32 = 165,739.96/x
  3. Step 3: Cross multiply
    365,467.60x = 548,134.32 × 165,739.96
  4. Step 4: Simplify right side
    365,467.60x = 90,847,760,271.43
  5. Step 5: Solve for x
    x = 90,847,760,271.43/365,467.60
  6. Step 6: Final answer
    x = 248,579.52

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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.