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Finding the Fourth Proportional to 395,782.31, 593,673.47 and 174,166.31

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Solution

The fourth proportional to 395,782.31, 593,673.47 and 174,166.31 is: 261,249.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,782.31 : 593,673.47 = 174,166.31 : x
  2. Step 2: Convert to fraction form
    395,782.31/593,673.47 = 174,166.31/x
  3. Step 3: Cross multiply
    395,782.31x = 593,673.47 × 174,166.31
  4. Step 4: Simplify right side
    395,782.31x = 103,397,918,881.27
  5. Step 5: Solve for x
    x = 103,397,918,881.27/395,782.31
  6. Step 6: Final answer
    x = 261,249.47

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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.