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Finding the Fourth Proportional to 388,194.48, 582,285.22 and 174,843.72

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Solution

The fourth proportional to 388,194.48, 582,285.22 and 174,843.72 is: 262,262.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,194.48 : 582,285.22 = 174,843.72 : x
  2. Step 2: Convert to fraction form
    388,194.48/582,285.22 = 174,843.72/x
  3. Step 3: Cross multiply
    388,194.48x = 582,285.22 × 174,843.72
  4. Step 4: Simplify right side
    388,194.48x = 101,808,913,965.82
  5. Step 5: Solve for x
    x = 101,808,913,965.82/388,194.48
  6. Step 6: Final answer
    x = 262,262.65

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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.