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Finding the Fourth Proportional to 314,399.89, 433,858.24 and 171,160.44

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Solution

The fourth proportional to 314,399.89, 433,858.24 and 171,160.44 is: 236,194.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,399.89 : 433,858.24 = 171,160.44 : x
  2. Step 2: Convert to fraction form
    314,399.89/433,858.24 = 171,160.44/x
  3. Step 3: Cross multiply
    314,399.89x = 433,858.24 × 171,160.44
  4. Step 4: Simplify right side
    314,399.89x = 74,259,367,256.03
  5. Step 5: Solve for x
    x = 74,259,367,256.03/314,399.89
  6. Step 6: Final answer
    x = 236,194.00

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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.