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Finding the Fourth Proportional to 317,441.72, 438,074.91 and 174,215.09

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Solution

The fourth proportional to 317,441.72, 438,074.91 and 174,215.09 is: 240,419.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,441.72 : 438,074.91 = 174,215.09 : x
  2. Step 2: Convert to fraction form
    317,441.72/438,074.91 = 174,215.09/x
  3. Step 3: Cross multiply
    317,441.72x = 438,074.91 × 174,215.09
  4. Step 4: Simplify right side
    317,441.72x = 76,319,257,682.02
  5. Step 5: Solve for x
    x = 76,319,257,682.02/317,441.72
  6. Step 6: Final answer
    x = 240,419.75

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