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Finding the Fourth Proportional to 295,083.44, 407,215.16 and 167,759.03

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Solution

The fourth proportional to 295,083.44, 407,215.16 and 167,759.03 is: 231,507.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,083.44 : 407,215.16 = 167,759.03 : x
  2. Step 2: Convert to fraction form
    295,083.44/407,215.16 = 167,759.03/x
  3. Step 3: Cross multiply
    295,083.44x = 407,215.16 × 167,759.03
  4. Step 4: Simplify right side
    295,083.44x = 68,314,021,680.33
  5. Step 5: Solve for x
    x = 68,314,021,680.33/295,083.44
  6. Step 6: Final answer
    x = 231,507.48

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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.