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Finding the Fourth Proportional to 314,301.37, 433,735.89 and 171,062.43

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Solution

The fourth proportional to 314,301.37, 433,735.89 and 171,062.43 is: 236,066.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,301.37 : 433,735.89 = 171,062.43 : x
  2. Step 2: Convert to fraction form
    314,301.37/433,735.89 = 171,062.43/x
  3. Step 3: Cross multiply
    314,301.37x = 433,735.89 × 171,062.43
  4. Step 4: Simplify right side
    314,301.37x = 74,195,915,321.61
  5. Step 5: Solve for x
    x = 74,195,915,321.61/314,301.37
  6. Step 6: Final answer
    x = 236,066.15

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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.