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Finding the Fourth Proportional to 506,834.41, 699,433.34 and 274,261.34

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Solution

The fourth proportional to 506,834.41, 699,433.34 and 274,261.34 is: 378,481.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,834.41 : 699,433.34 = 274,261.34 : x
  2. Step 2: Convert to fraction form
    506,834.41/699,433.34 = 274,261.34/x
  3. Step 3: Cross multiply
    506,834.41x = 699,433.34 × 274,261.34
  4. Step 4: Simplify right side
    506,834.41x = 191,827,525,446.35
  5. Step 5: Solve for x
    x = 191,827,525,446.35/506,834.41
  6. Step 6: Final answer
    x = 378,481.66

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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.