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Finding the Fourth Proportional to 326,903.60, 491,093.55 and 193,871.12

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Solution

The fourth proportional to 326,903.60, 491,093.55 and 193,871.12 is: 291,244.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,903.60 : 491,093.55 = 193,871.12 : x
  2. Step 2: Convert to fraction form
    326,903.60/491,093.55 = 193,871.12/x
  3. Step 3: Cross multiply
    326,903.60x = 491,093.55 × 193,871.12
  4. Step 4: Simplify right side
    326,903.60x = 95,208,854,107.81
  5. Step 5: Solve for x
    x = 95,208,854,107.81/326,903.60
  6. Step 6: Final answer
    x = 291,244.43

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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.