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Finding the Fourth Proportional to 326,753.79, 490,322.52 and 137,199.58

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Solution

The fourth proportional to 326,753.79, 490,322.52 and 137,199.58 is: 205,879.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,753.79 : 490,322.52 = 137,199.58 : x
  2. Step 2: Convert to fraction form
    326,753.79/490,322.52 = 137,199.58/x
  3. Step 3: Cross multiply
    326,753.79x = 490,322.52 × 137,199.58
  4. Step 4: Simplify right side
    326,753.79x = 67,272,043,808.54
  5. Step 5: Solve for x
    x = 67,272,043,808.54/326,753.79
  6. Step 6: Final answer
    x = 205,879.92

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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.