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Finding the Fourth Proportional to 388,197, 582,295.77 and 107,714.52

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Solution

The fourth proportional to 388,197, 582,295.77 and 107,714.52 is: 161,571.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,197 : 582,295.77 = 107,714.52 : x
  2. Step 2: Convert to fraction form
    388,197/582,295.77 = 107,714.52/x
  3. Step 3: Cross multiply
    388,197x = 582,295.77 × 107,714.52
  4. Step 4: Simplify right side
    388,197x = 62,721,709,363.58
  5. Step 5: Solve for x
    x = 62,721,709,363.58/388,197
  6. Step 6: Final answer
    x = 161,571.85

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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.