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Finding the Fourth Proportional to 361,208.76, 498,473.36 and 208,244.32

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Solution

The fourth proportional to 361,208.76, 498,473.36 and 208,244.32 is: 287,380.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,208.76 : 498,473.36 = 208,244.32 : x
  2. Step 2: Convert to fraction form
    361,208.76/498,473.36 = 208,244.32/x
  3. Step 3: Cross multiply
    361,208.76x = 498,473.36 × 208,244.32
  4. Step 4: Simplify right side
    361,208.76x = 103,804,245,891.32
  5. Step 5: Solve for x
    x = 103,804,245,891.32/361,208.76
  6. Step 6: Final answer
    x = 287,380.20

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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.