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Finding the Fourth Proportional to 379,385.34, 523,550.70 and 209,618.25

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Solution

The fourth proportional to 379,385.34, 523,550.70 and 209,618.25 is: 289,272.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,385.34 : 523,550.70 = 209,618.25 : x
  2. Step 2: Convert to fraction form
    379,385.34/523,550.70 = 209,618.25/x
  3. Step 3: Cross multiply
    379,385.34x = 523,550.70 × 209,618.25
  4. Step 4: Simplify right side
    379,385.34x = 109,745,781,520.28
  5. Step 5: Solve for x
    x = 109,745,781,520.28/379,385.34
  6. Step 6: Final answer
    x = 289,272.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.