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Finding the Fourth Proportional to 494,148.34, 681,932.27 and 290,203.57

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Solution

The fourth proportional to 494,148.34, 681,932.27 and 290,203.57 is: 400,485.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,148.34 : 681,932.27 = 290,203.57 : x
  2. Step 2: Convert to fraction form
    494,148.34/681,932.27 = 290,203.57/x
  3. Step 3: Cross multiply
    494,148.34x = 681,932.27 × 290,203.57
  4. Step 4: Simplify right side
    494,148.34x = 197,899,174,391.53
  5. Step 5: Solve for x
    x = 197,899,174,391.53/494,148.34
  6. Step 6: Final answer
    x = 400,485.36

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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.