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Finding the Fourth Proportional to 362,572.80, 542,694.61 and 193,670.79

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Solution

The fourth proportional to 362,572.80, 542,694.61 and 193,670.79 is: 289,884.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,572.80 : 542,694.61 = 193,670.79 : x
  2. Step 2: Convert to fraction form
    362,572.80/542,694.61 = 193,670.79/x
  3. Step 3: Cross multiply
    362,572.80x = 542,694.61 × 193,670.79
  4. Step 4: Simplify right side
    362,572.80x = 105,104,093,847.44
  5. Step 5: Solve for x
    x = 105,104,093,847.44/362,572.80
  6. Step 6: Final answer
    x = 289,884.11

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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.