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Finding the Fourth Proportional to 231,708.31, 347,343.32 and 174,693.76

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Solution

The fourth proportional to 231,708.31, 347,343.32 and 174,693.76 is: 261,875.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,708.31 : 347,343.32 = 174,693.76 : x
  2. Step 2: Convert to fraction form
    231,708.31/347,343.32 = 174,693.76/x
  3. Step 3: Cross multiply
    231,708.31x = 347,343.32 × 174,693.76
  4. Step 4: Simplify right side
    231,708.31x = 60,678,707,971.50
  5. Step 5: Solve for x
    x = 60,678,707,971.50/231,708.31
  6. Step 6: Final answer
    x = 261,875.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.