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Finding the Fourth Proportional to 395,340.16, 593,043.20 and 114,857.44

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Solution

The fourth proportional to 395,340.16, 593,043.20 and 114,857.44 is: 172,295.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,340.16 : 593,043.20 = 114,857.44 : x
  2. Step 2: Convert to fraction form
    395,340.16/593,043.20 = 114,857.44/x
  3. Step 3: Cross multiply
    395,340.16x = 593,043.20 × 114,857.44
  4. Step 4: Simplify right side
    395,340.16x = 68,115,423,761.41
  5. Step 5: Solve for x
    x = 68,115,423,761.41/395,340.16
  6. Step 6: Final answer
    x = 172,295.74

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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.