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Finding the Fourth Proportional to 361,048.24, 498,251.84 and 208,002

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Solution

The fourth proportional to 361,048.24, 498,251.84 and 208,002 is: 287,045.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,048.24 : 498,251.84 = 208,002 : x
  2. Step 2: Convert to fraction form
    361,048.24/498,251.84 = 208,002/x
  3. Step 3: Cross multiply
    361,048.24x = 498,251.84 × 208,002
  4. Step 4: Simplify right side
    361,048.24x = 103,637,379,223.68
  5. Step 5: Solve for x
    x = 103,637,379,223.68/361,048.24
  6. Step 6: Final answer
    x = 287,045.80

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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.