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Finding the Fourth Proportional to 295,147.10, 407,265.60 and 167,825.43

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Solution

The fourth proportional to 295,147.10, 407,265.60 and 167,825.43 is: 231,577.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,147.10 : 407,265.60 = 167,825.43 : x
  2. Step 2: Convert to fraction form
    295,147.10/407,265.60 = 167,825.43/x
  3. Step 3: Cross multiply
    295,147.10x = 407,265.60 × 167,825.43
  4. Step 4: Simplify right side
    295,147.10x = 68,349,525,073.55
  5. Step 5: Solve for x
    x = 68,349,525,073.55/295,147.10
  6. Step 6: Final answer
    x = 231,577.83

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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.