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Finding the Fourth Proportional to 579,894.66, 869,633.37 and 200,712.38

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Solution

The fourth proportional to 579,894.66, 869,633.37 and 200,712.38 is: 300,996.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,894.66 : 869,633.37 = 200,712.38 : x
  2. Step 2: Convert to fraction form
    579,894.66/869,633.37 = 200,712.38/x
  3. Step 3: Cross multiply
    579,894.66x = 869,633.37 × 200,712.38
  4. Step 4: Simplify right side
    579,894.66x = 174,546,179,071.95
  5. Step 5: Solve for x
    x = 174,546,179,071.95/579,894.66
  6. Step 6: Final answer
    x = 300,996.36

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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.