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Finding the Fourth Proportional to 361,929.98, 499,463.94 and 200,785.02

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Solution

The fourth proportional to 361,929.98, 499,463.94 and 200,785.02 is: 277,083.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,929.98 : 499,463.94 = 200,785.02 : x
  2. Step 2: Convert to fraction form
    361,929.98/499,463.94 = 200,785.02/x
  3. Step 3: Cross multiply
    361,929.98x = 499,463.94 × 200,785.02
  4. Step 4: Simplify right side
    361,929.98x = 100,284,877,182.18
  5. Step 5: Solve for x
    x = 100,284,877,182.18/361,929.98
  6. Step 6: Final answer
    x = 277,083.65

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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.