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Finding the Fourth Proportional to 301,653.48, 416,282.64 and 167,517.48

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Solution

The fourth proportional to 301,653.48, 416,282.64 and 167,517.48 is: 231,174.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,653.48 : 416,282.64 = 167,517.48 : x
  2. Step 2: Convert to fraction form
    301,653.48/416,282.64 = 167,517.48/x
  3. Step 3: Cross multiply
    301,653.48x = 416,282.64 × 167,517.48
  4. Step 4: Simplify right side
    301,653.48x = 69,734,618,820.55
  5. Step 5: Solve for x
    x = 69,734,618,820.55/301,653.48
  6. Step 6: Final answer
    x = 231,174.59

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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.