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Finding the Fourth Proportional to 361,088.22, 498,358 and 206,039.82

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Solution

The fourth proportional to 361,088.22, 498,358 and 206,039.82 is: 284,367.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,088.22 : 498,358 = 206,039.82 : x
  2. Step 2: Convert to fraction form
    361,088.22/498,358 = 206,039.82/x
  3. Step 3: Cross multiply
    361,088.22x = 498,358 × 206,039.82
  4. Step 4: Simplify right side
    361,088.22x = 102,681,592,615.56
  5. Step 5: Solve for x
    x = 102,681,592,615.56/361,088.22
  6. Step 6: Final answer
    x = 284,367.05

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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.