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Finding the Fourth Proportional to 314,388.75, 433,855.76 and 171,149.79

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Solution

The fourth proportional to 314,388.75, 433,855.76 and 171,149.79 is: 236,186.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,388.75 : 433,855.76 = 171,149.79 : x
  2. Step 2: Convert to fraction form
    314,388.75/433,855.76 = 171,149.79/x
  3. Step 3: Cross multiply
    314,388.75x = 433,855.76 × 171,149.79
  4. Step 4: Simplify right side
    314,388.75x = 74,254,321,358.54
  5. Step 5: Solve for x
    x = 74,254,321,358.54/314,388.75
  6. Step 6: Final answer
    x = 236,186.32

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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.