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Finding the Fourth Proportional to 494,884.26, 742,319.88 and 120,910.50

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Solution

The fourth proportional to 494,884.26, 742,319.88 and 120,910.50 is: 181,364.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,884.26 : 742,319.88 = 120,910.50 : x
  2. Step 2: Convert to fraction form
    494,884.26/742,319.88 = 120,910.50/x
  3. Step 3: Cross multiply
    494,884.26x = 742,319.88 × 120,910.50
  4. Step 4: Simplify right side
    494,884.26x = 89,754,267,850.74
  5. Step 5: Solve for x
    x = 89,754,267,850.74/494,884.26
  6. Step 6: Final answer
    x = 181,364.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.