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Finding the Fourth Proportional to 395,465.46, 593,299.31 and 114,982.71

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Solution

The fourth proportional to 395,465.46, 593,299.31 and 114,982.71 is: 172,503.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,465.46 : 593,299.31 = 114,982.71 : x
  2. Step 2: Convert to fraction form
    395,465.46/593,299.31 = 114,982.71/x
  3. Step 3: Cross multiply
    395,465.46x = 593,299.31 × 114,982.71
  4. Step 4: Simplify right side
    395,465.46x = 68,219,161,930.02
  5. Step 5: Solve for x
    x = 68,219,161,930.02/395,465.46
  6. Step 6: Final answer
    x = 172,503.46

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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.