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Finding the Fourth Proportional to 365,447.54, 548,104.34 and 165,719.90

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Solution

The fourth proportional to 365,447.54, 548,104.34 and 165,719.90 is: 248,549.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,447.54 : 548,104.34 = 165,719.90 : x
  2. Step 2: Convert to fraction form
    365,447.54/548,104.34 = 165,719.90/x
  3. Step 3: Cross multiply
    365,447.54x = 548,104.34 × 165,719.90
  4. Step 4: Simplify right side
    365,447.54x = 90,831,796,414.37
  5. Step 5: Solve for x
    x = 90,831,796,414.37/365,447.54
  6. Step 6: Final answer
    x = 248,549.48

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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.