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Finding the Fourth Proportional to 362,333.82, 542,975.85 and 204,225.87

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Solution

The fourth proportional to 362,333.82, 542,975.85 and 204,225.87 is: 306,042.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,333.82 : 542,975.85 = 204,225.87 : x
  2. Step 2: Convert to fraction form
    362,333.82/542,975.85 = 204,225.87/x
  3. Step 3: Cross multiply
    362,333.82x = 542,975.85 × 204,225.87
  4. Step 4: Simplify right side
    362,333.82x = 110,889,715,355.24
  5. Step 5: Solve for x
    x = 110,889,715,355.24/362,333.82
  6. Step 6: Final answer
    x = 306,042.96

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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.