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Finding the Fourth Proportional to 366,823.68, 506,198.88 and 205,696.32

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Solution

The fourth proportional to 366,823.68, 506,198.88 and 205,696.32 is: 283,850.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,823.68 : 506,198.88 = 205,696.32 : x
  2. Step 2: Convert to fraction form
    366,823.68/506,198.88 = 205,696.32/x
  3. Step 3: Cross multiply
    366,823.68x = 506,198.88 × 205,696.32
  4. Step 4: Simplify right side
    366,823.68x = 104,123,246,804.12
  5. Step 5: Solve for x
    x = 104,123,246,804.12/366,823.68
  6. Step 6: Final answer
    x = 283,850.94

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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.