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Finding the Fourth Proportional to 343,799.30, 515,804.52 and 164,114.02

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Solution

The fourth proportional to 343,799.30, 515,804.52 and 164,114.02 is: 246,221.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,799.30 : 515,804.52 = 164,114.02 : x
  2. Step 2: Convert to fraction form
    343,799.30/515,804.52 = 164,114.02/x
  3. Step 3: Cross multiply
    343,799.30x = 515,804.52 × 164,114.02
  4. Step 4: Simplify right side
    343,799.30x = 84,650,753,311.37
  5. Step 5: Solve for x
    x = 84,650,753,311.37/343,799.30
  6. Step 6: Final answer
    x = 246,221.42

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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.