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Finding the Fourth Proportional to 490,732.56, 736,151.63 and 206,452.08

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Solution

The fourth proportional to 490,732.56, 736,151.63 and 206,452.08 is: 309,700.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,732.56 : 736,151.63 = 206,452.08 : x
  2. Step 2: Convert to fraction form
    490,732.56/736,151.63 = 206,452.08/x
  3. Step 3: Cross multiply
    490,732.56x = 736,151.63 × 206,452.08
  4. Step 4: Simplify right side
    490,732.56x = 151,980,034,176.63
  5. Step 5: Solve for x
    x = 151,980,034,176.63/490,732.56
  6. Step 6: Final answer
    x = 309,700.33

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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.