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Finding the Fourth Proportional to 314,422.35, 433,902.18 and 171,181.14

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Solution

The fourth proportional to 314,422.35, 433,902.18 and 171,181.14 is: 236,229.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,422.35 : 433,902.18 = 171,181.14 : x
  2. Step 2: Convert to fraction form
    314,422.35/433,902.18 = 171,181.14/x
  3. Step 3: Cross multiply
    314,422.35x = 433,902.18 × 171,181.14
  4. Step 4: Simplify right side
    314,422.35x = 74,275,869,820.89
  5. Step 5: Solve for x
    x = 74,275,869,820.89/314,422.35
  6. Step 6: Final answer
    x = 236,229.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.