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Finding the Fourth Proportional to 395,782.81, 593,674.22 and 174,166.81

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Solution

The fourth proportional to 395,782.81, 593,674.22 and 174,166.81 is: 261,250.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,782.81 : 593,674.22 = 174,166.81 : x
  2. Step 2: Convert to fraction form
    395,782.81/593,674.22 = 174,166.81/x
  3. Step 3: Cross multiply
    395,782.81x = 593,674.22 × 174,166.81
  4. Step 4: Simplify right side
    395,782.81x = 103,398,346,560.82
  5. Step 5: Solve for x
    x = 103,398,346,560.82/395,782.81
  6. Step 6: Final answer
    x = 261,250.22

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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.