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Finding the Fourth Proportional to 363,004.92, 500,923.08 and 201,853.98

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Solution

The fourth proportional to 363,004.92, 500,923.08 and 201,853.98 is: 278,545.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,004.92 : 500,923.08 = 201,853.98 : x
  2. Step 2: Convert to fraction form
    363,004.92/500,923.08 = 201,853.98/x
  3. Step 3: Cross multiply
    363,004.92x = 500,923.08 × 201,853.98
  4. Step 4: Simplify right side
    363,004.92x = 101,113,317,371.86
  5. Step 5: Solve for x
    x = 101,113,317,371.86/363,004.92
  6. Step 6: Final answer
    x = 278,545.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.