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Finding the Fourth Proportional to 317,418.88, 438,023.01 and 174,175.78

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Solution

The fourth proportional to 317,418.88, 438,023.01 and 174,175.78 is: 240,354.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,418.88 : 438,023.01 = 174,175.78 : x
  2. Step 2: Convert to fraction form
    317,418.88/438,023.01 = 174,175.78/x
  3. Step 3: Cross multiply
    317,418.88x = 438,023.01 × 174,175.78
  4. Step 4: Simplify right side
    317,418.88x = 76,292,999,424.70
  5. Step 5: Solve for x
    x = 76,292,999,424.70/317,418.88
  6. Step 6: Final answer
    x = 240,354.32

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1.5x scale

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.