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Finding the Fourth Proportional to 326,688.42, 490,101.89 and 116,325.75

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Solution

The fourth proportional to 326,688.42, 490,101.89 and 116,325.75 is: 174,513.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,688.42 : 490,101.89 = 116,325.75 : x
  2. Step 2: Convert to fraction form
    326,688.42/490,101.89 = 116,325.75/x
  3. Step 3: Cross multiply
    326,688.42x = 490,101.89 × 116,325.75
  4. Step 4: Simplify right side
    326,688.42x = 57,011,469,930.67
  5. Step 5: Solve for x
    x = 57,011,469,930.67/326,688.42
  6. Step 6: Final answer
    x = 174,513.29

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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.