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Finding the Fourth Proportional to 263,192.38, 362,778.91 and 205,730.17

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Solution

The fourth proportional to 263,192.38, 362,778.91 and 205,730.17 is: 283,574.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,192.38 : 362,778.91 = 205,730.17 : x
  2. Step 2: Convert to fraction form
    263,192.38/362,778.91 = 205,730.17/x
  3. Step 3: Cross multiply
    263,192.38x = 362,778.91 × 205,730.17
  4. Step 4: Simplify right side
    263,192.38x = 74,634,565,405.44
  5. Step 5: Solve for x
    x = 74,634,565,405.44/263,192.38
  6. Step 6: Final answer
    x = 283,574.19

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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.