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Finding the Fourth Proportional to 361,813.08, 499,332.63 and 200,719.98

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Solution

The fourth proportional to 361,813.08, 499,332.63 and 200,719.98 is: 277,010.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,813.08 : 499,332.63 = 200,719.98 : x
  2. Step 2: Convert to fraction form
    361,813.08/499,332.63 = 200,719.98/x
  3. Step 3: Cross multiply
    361,813.08x = 499,332.63 × 200,719.98
  4. Step 4: Simplify right side
    361,813.08x = 100,226,035,506.95
  5. Step 5: Solve for x
    x = 100,226,035,506.95/361,813.08
  6. Step 6: Final answer
    x = 277,010.54

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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.