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Finding the Fourth Proportional to 314,994.91, 434,683.50 and 171,757.75

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Solution

The fourth proportional to 314,994.91, 434,683.50 and 171,757.75 is: 237,020.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,994.91 : 434,683.50 = 171,757.75 : x
  2. Step 2: Convert to fraction form
    314,994.91/434,683.50 = 171,757.75/x
  3. Step 3: Cross multiply
    314,994.91x = 434,683.50 × 171,757.75
  4. Step 4: Simplify right side
    314,994.91x = 74,660,259,922.13
  5. Step 5: Solve for x
    x = 74,660,259,922.13/314,994.91
  6. Step 6: Final answer
    x = 237,020.53

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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.