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Finding the Fourth Proportional to 379,058.61, 523,096.86 and 206,976.04

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Solution

The fourth proportional to 379,058.61, 523,096.86 and 206,976.04 is: 285,624.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,058.61 : 523,096.86 = 206,976.04 : x
  2. Step 2: Convert to fraction form
    379,058.61/523,096.86 = 206,976.04/x
  3. Step 3: Cross multiply
    379,058.61x = 523,096.86 × 206,976.04
  4. Step 4: Simplify right side
    379,058.61x = 108,268,516,619.23
  5. Step 5: Solve for x
    x = 108,268,516,619.23/379,058.61
  6. Step 6: Final answer
    x = 285,624.74

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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.