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Finding the Fourth Proportional to 314,413.38, 433,898.26 and 171,181.28

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Solution

The fourth proportional to 314,413.38, 433,898.26 and 171,181.28 is: 236,234.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,413.38 : 433,898.26 = 171,181.28 : x
  2. Step 2: Convert to fraction form
    314,413.38/433,898.26 = 171,181.28/x
  3. Step 3: Cross multiply
    314,413.38x = 433,898.26 × 171,181.28
  4. Step 4: Simplify right side
    314,413.38x = 74,275,259,536.57
  5. Step 5: Solve for x
    x = 74,275,259,536.57/314,413.38
  6. Step 6: Final answer
    x = 236,234.41

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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.