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Finding the Fourth Proportional to 361,324.62, 498,697.74 and 208,461.54

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Solution

The fourth proportional to 361,324.62, 498,697.74 and 208,461.54 is: 287,717.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,324.62 : 498,697.74 = 208,461.54 : x
  2. Step 2: Convert to fraction form
    361,324.62/498,697.74 = 208,461.54/x
  3. Step 3: Cross multiply
    361,324.62x = 498,697.74 × 208,461.54
  4. Step 4: Simplify right side
    361,324.62x = 103,959,298,874.92
  5. Step 5: Solve for x
    x = 103,959,298,874.92/361,324.62
  6. Step 6: Final answer
    x = 287,717.17

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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.