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Finding the Fourth Proportional to 295,796.47, 408,396.18 and 174,976.56

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Solution

The fourth proportional to 295,796.47, 408,396.18 and 174,976.56 is: 241,584.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,796.47 : 408,396.18 = 174,976.56 : x
  2. Step 2: Convert to fraction form
    295,796.47/408,396.18 = 174,976.56/x
  3. Step 3: Cross multiply
    295,796.47x = 408,396.18 × 174,976.56
  4. Step 4: Simplify right side
    295,796.47x = 71,459,758,693.54
  5. Step 5: Solve for x
    x = 71,459,758,693.54/295,796.47
  6. Step 6: Final answer
    x = 241,584.22

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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.