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Finding the Fourth Proportional to 395,409.31, 593,113.77 and 95,889.84

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Solution

The fourth proportional to 395,409.31, 593,113.77 and 95,889.84 is: 143,834.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,409.31 : 593,113.77 = 95,889.84 : x
  2. Step 2: Convert to fraction form
    395,409.31/593,113.77 = 95,889.84/x
  3. Step 3: Cross multiply
    395,409.31x = 593,113.77 × 95,889.84
  4. Step 4: Simplify right side
    395,409.31x = 56,873,584,507.10
  5. Step 5: Solve for x
    x = 56,873,584,507.10/395,409.31
  6. Step 6: Final answer
    x = 143,834.71

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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.