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Finding the Fourth Proportional to 314,050.85, 470,791.19 and 114,229.97

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Solution

The fourth proportional to 314,050.85, 470,791.19 and 114,229.97 is: 171,241.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,050.85 : 470,791.19 = 114,229.97 : x
  2. Step 2: Convert to fraction form
    314,050.85/470,791.19 = 114,229.97/x
  3. Step 3: Cross multiply
    314,050.85x = 470,791.19 × 114,229.97
  4. Step 4: Simplify right side
    314,050.85x = 53,778,464,972.52
  5. Step 5: Solve for x
    x = 53,778,464,972.52/314,050.85
  6. Step 6: Final answer
    x = 171,241.26

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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.