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Finding the Fourth Proportional to 342,382.58, 472,289.97 and 206,323.70

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Solution

The fourth proportional to 342,382.58, 472,289.97 and 206,323.70 is: 284,607.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,382.58 : 472,289.97 = 206,323.70 : x
  2. Step 2: Convert to fraction form
    342,382.58/472,289.97 = 206,323.70/x
  3. Step 3: Cross multiply
    342,382.58x = 472,289.97 × 206,323.70
  4. Step 4: Simplify right side
    342,382.58x = 97,444,614,083.29
  5. Step 5: Solve for x
    x = 97,444,614,083.29/342,382.58
  6. Step 6: Final answer
    x = 284,607.39

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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.