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Finding the Fourth Proportional to 294,591.74, 406,549.94 and 173,738.12

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Solution

The fourth proportional to 294,591.74, 406,549.94 and 173,738.12 is: 239,766.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,591.74 : 406,549.94 = 173,738.12 : x
  2. Step 2: Convert to fraction form
    294,591.74/406,549.94 = 173,738.12/x
  3. Step 3: Cross multiply
    294,591.74x = 406,549.94 × 173,738.12
  4. Step 4: Simplify right side
    294,591.74x = 70,633,219,360.27
  5. Step 5: Solve for x
    x = 70,633,219,360.27/294,591.74
  6. Step 6: Final answer
    x = 239,766.47

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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.