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Finding the Fourth Proportional to 797,285, 1,195,931.82 and 206,309

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Solution

The fourth proportional to 797,285, 1,195,931.82 and 206,309 is: 309,464.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,285 : 1,195,931.82 = 206,309 : x
  2. Step 2: Convert to fraction form
    797,285/1,195,931.82 = 206,309/x
  3. Step 3: Cross multiply
    797,285x = 1,195,931.82 × 206,309
  4. Step 4: Simplify right side
    797,285x = 246,731,497,852.38
  5. Step 5: Solve for x
    x = 246,731,497,852.38/797,285
  6. Step 6: Final answer
    x = 309,464.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.