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Finding the Fourth Proportional to 326,704.10, 490,074.57 and 116,342.06

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Solution

The fourth proportional to 326,704.10, 490,074.57 and 116,342.06 is: 174,519.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,704.10 : 490,074.57 = 116,342.06 : x
  2. Step 2: Convert to fraction form
    326,704.10/490,074.57 = 116,342.06/x
  3. Step 3: Cross multiply
    326,704.10x = 490,074.57 × 116,342.06
  4. Step 4: Simplify right side
    326,704.10x = 57,016,282,577.04
  5. Step 5: Solve for x
    x = 57,016,282,577.04/326,704.10
  6. Step 6: Final answer
    x = 174,519.64

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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.