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Finding the Fourth Proportional to 314,241.21, 433,662 and 171,010.49

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Solution

The fourth proportional to 314,241.21, 433,662 and 171,010.49 is: 235,999.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,241.21 : 433,662 = 171,010.49 : x
  2. Step 2: Convert to fraction form
    314,241.21/433,662 = 171,010.49/x
  3. Step 3: Cross multiply
    314,241.21x = 433,662 × 171,010.49
  4. Step 4: Simplify right side
    314,241.21x = 74,160,751,114.38
  5. Step 5: Solve for x
    x = 74,160,751,114.38/314,241.21
  6. Step 6: Final answer
    x = 235,999.44

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1.5x scale

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.