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Finding the Fourth Proportional to 314,407.83, 433,891.89 and 171,170.31

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Solution

The fourth proportional to 314,407.83, 433,891.89 and 171,170.31 is: 236,219.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,407.83 : 433,891.89 = 171,170.31 : x
  2. Step 2: Convert to fraction form
    314,407.83/433,891.89 = 171,170.31/x
  3. Step 3: Cross multiply
    314,407.83x = 433,891.89 × 171,170.31
  4. Step 4: Simplify right side
    314,407.83x = 74,269,409,317.79
  5. Step 5: Solve for x
    x = 74,269,409,317.79/314,407.83
  6. Step 6: Final answer
    x = 236,219.97

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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.