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Finding the Fourth Proportional to 314,969.18, 434,659.50 and 171,731.61

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Solution

The fourth proportional to 314,969.18, 434,659.50 and 171,731.61 is: 236,990.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,969.18 : 434,659.50 = 171,731.61 : x
  2. Step 2: Convert to fraction form
    314,969.18/434,659.50 = 171,731.61/x
  3. Step 3: Cross multiply
    314,969.18x = 434,659.50 × 171,731.61
  4. Step 4: Simplify right side
    314,969.18x = 74,644,775,736.80
  5. Step 5: Solve for x
    x = 74,644,775,736.80/314,969.18
  6. Step 6: Final answer
    x = 236,990.73

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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.