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Finding the Fourth Proportional to 340,569.96, 469,930.24 and 206,433.96

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Solution

The fourth proportional to 340,569.96, 469,930.24 and 206,433.96 is: 284,844.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,569.96 : 469,930.24 = 206,433.96 : x
  2. Step 2: Convert to fraction form
    340,569.96/469,930.24 = 206,433.96/x
  3. Step 3: Cross multiply
    340,569.96x = 469,930.24 × 206,433.96
  4. Step 4: Simplify right side
    340,569.96x = 97,009,560,366.95
  5. Step 5: Solve for x
    x = 97,009,560,366.95/340,569.96
  6. Step 6: Final answer
    x = 284,844.74

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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.