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Finding the Fourth Proportional to 301,074.56, 415,452.95 and 173,791.16

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Solution

The fourth proportional to 301,074.56, 415,452.95 and 173,791.16 is: 239,814.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,074.56 : 415,452.95 = 173,791.16 : x
  2. Step 2: Convert to fraction form
    301,074.56/415,452.95 = 173,791.16/x
  3. Step 3: Cross multiply
    301,074.56x = 415,452.95 × 173,791.16
  4. Step 4: Simplify right side
    301,074.56x = 72,202,047,159.70
  5. Step 5: Solve for x
    x = 72,202,047,159.70/301,074.56
  6. Step 6: Final answer
    x = 239,814.51

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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.