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Finding the Fourth Proportional to 380,268.54, 570,401.25 and 95,959.74

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Solution

The fourth proportional to 380,268.54, 570,401.25 and 95,959.74 is: 143,939.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,268.54 : 570,401.25 = 95,959.74 : x
  2. Step 2: Convert to fraction form
    380,268.54/570,401.25 = 95,959.74/x
  3. Step 3: Cross multiply
    380,268.54x = 570,401.25 × 95,959.74
  4. Step 4: Simplify right side
    380,268.54x = 54,735,555,645.68
  5. Step 5: Solve for x
    x = 54,735,555,645.68/380,268.54
  6. Step 6: Final answer
    x = 143,939.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.