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Finding the Fourth Proportional to 494,077.83, 681,832.77 and 290,131.17

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Solution

The fourth proportional to 494,077.83, 681,832.77 and 290,131.17 is: 400,384.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,077.83 : 681,832.77 = 290,131.17 : x
  2. Step 2: Convert to fraction form
    494,077.83/681,832.77 = 290,131.17/x
  3. Step 3: Cross multiply
    494,077.83x = 681,832.77 × 290,131.17
  4. Step 4: Simplify right side
    494,077.83x = 197,820,939,304.44
  5. Step 5: Solve for x
    x = 197,820,939,304.44/494,077.83
  6. Step 6: Final answer
    x = 400,384.16

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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.