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Finding the Fourth Proportional to 283,530.17, 391,008.81 and 206,927.93

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Solution

The fourth proportional to 283,530.17, 391,008.81 and 206,927.93 is: 285,368.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,530.17 : 391,008.81 = 206,927.93 : x
  2. Step 2: Convert to fraction form
    283,530.17/391,008.81 = 206,927.93/x
  3. Step 3: Cross multiply
    283,530.17x = 391,008.81 × 206,927.93
  4. Step 4: Simplify right side
    283,530.17x = 80,910,643,665.06
  5. Step 5: Solve for x
    x = 80,910,643,665.06/283,530.17
  6. Step 6: Final answer
    x = 285,368.73

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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.