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Finding the Fourth Proportional to 317,974.68, 438,805.08 and 174,744

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Solution

The fourth proportional to 317,974.68, 438,805.08 and 174,744 is: 241,146.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,974.68 : 438,805.08 = 174,744 : x
  2. Step 2: Convert to fraction form
    317,974.68/438,805.08 = 174,744/x
  3. Step 3: Cross multiply
    317,974.68x = 438,805.08 × 174,744
  4. Step 4: Simplify right side
    317,974.68x = 76,678,554,899.52
  5. Step 5: Solve for x
    x = 76,678,554,899.52/317,974.68
  6. Step 6: Final answer
    x = 241,146.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.