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Finding the Fourth Proportional to 317,668.74, 476,363.22 and 149,236.93

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Solution

The fourth proportional to 317,668.74, 476,363.22 and 149,236.93 is: 223,789.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,668.74 : 476,363.22 = 149,236.93 : x
  2. Step 2: Convert to fraction form
    317,668.74/476,363.22 = 149,236.93/x
  3. Step 3: Cross multiply
    317,668.74x = 476,363.22 × 149,236.93
  4. Step 4: Simplify right side
    317,668.74x = 71,090,984,517.71
  5. Step 5: Solve for x
    x = 71,090,984,517.71/317,668.74
  6. Step 6: Final answer
    x = 223,789.68

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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.