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Finding the Fourth Proportional to 361,483.43, 498,908.84 and 208,494.18

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Solution

The fourth proportional to 361,483.43, 498,908.84 and 208,494.18 is: 287,757.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,483.43 : 498,908.84 = 208,494.18 : x
  2. Step 2: Convert to fraction form
    361,483.43/498,908.84 = 208,494.18/x
  3. Step 3: Cross multiply
    361,483.43x = 498,908.84 × 208,494.18
  4. Step 4: Simplify right side
    361,483.43x = 104,019,588,448.08
  5. Step 5: Solve for x
    x = 104,019,588,448.08/361,483.43
  6. Step 6: Final answer
    x = 287,757.56

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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.