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Finding the Fourth Proportional to 494,003, 681,724.86 and 267,648.50

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Solution

The fourth proportional to 494,003, 681,724.86 and 267,648.50 is: 369,355.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,003 : 681,724.86 = 267,648.50 : x
  2. Step 2: Convert to fraction form
    494,003/681,724.86 = 267,648.50/x
  3. Step 3: Cross multiply
    494,003x = 681,724.86 × 267,648.50
  4. Step 4: Simplify right side
    494,003x = 182,462,636,191.71
  5. Step 5: Solve for x
    x = 182,462,636,191.71/494,003
  6. Step 6: Final answer
    x = 369,355.32

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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.