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Finding the Fourth Proportional to 361,342.02, 498,886 and 232,338.44

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Solution

The fourth proportional to 361,342.02, 498,886 and 232,338.44 is: 320,777.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,342.02 : 498,886 = 232,338.44 : x
  2. Step 2: Convert to fraction form
    361,342.02/498,886 = 232,338.44/x
  3. Step 3: Cross multiply
    361,342.02x = 498,886 × 232,338.44
  4. Step 4: Simplify right side
    361,342.02x = 115,910,394,977.84
  5. Step 5: Solve for x
    x = 115,910,394,977.84/361,342.02
  6. Step 6: Final answer
    x = 320,777.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.