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Finding the Fourth Proportional to 362,894.52, 543,177.14 and 193,992.60

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Solution

The fourth proportional to 362,894.52, 543,177.14 and 193,992.60 is: 290,366.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,894.52 : 543,177.14 = 193,992.60 : x
  2. Step 2: Convert to fraction form
    362,894.52/543,177.14 = 193,992.60/x
  3. Step 3: Cross multiply
    362,894.52x = 543,177.14 × 193,992.60
  4. Step 4: Simplify right side
    362,894.52x = 105,372,345,649.16
  5. Step 5: Solve for x
    x = 105,372,345,649.16/362,894.52
  6. Step 6: Final answer
    x = 290,366.32

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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.