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Finding the Fourth Proportional to 317,418.38, 438,022.32 and 174,175.28

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Solution

The fourth proportional to 317,418.38, 438,022.32 and 174,175.28 is: 240,353.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,418.38 : 438,022.32 = 174,175.28 : x
  2. Step 2: Convert to fraction form
    317,418.38/438,022.32 = 174,175.28/x
  3. Step 3: Cross multiply
    317,418.38x = 438,022.32 × 174,175.28
  4. Step 4: Simplify right side
    317,418.38x = 76,292,660,232.25
  5. Step 5: Solve for x
    x = 76,292,660,232.25/317,418.38
  6. Step 6: Final answer
    x = 240,353.63

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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.