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Finding the Fourth Proportional to 314,896.39, 472,295.89 and 115,170.07

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Solution

The fourth proportional to 314,896.39, 472,295.89 and 115,170.07 is: 172,737.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,896.39 : 472,295.89 = 115,170.07 : x
  2. Step 2: Convert to fraction form
    314,896.39/472,295.89 = 115,170.07/x
  3. Step 3: Cross multiply
    314,896.39x = 472,295.89 × 115,170.07
  4. Step 4: Simplify right side
    314,896.39x = 54,394,350,712.01
  5. Step 5: Solve for x
    x = 54,394,350,712.01/314,896.39
  6. Step 6: Final answer
    x = 172,737.30

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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.