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Finding the Fourth Proportional to 294,880, 406,794.24 and 199,420.16

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Solution

The fourth proportional to 294,880, 406,794.24 and 199,420.16 is: 275,105.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,880 : 406,794.24 = 199,420.16 : x
  2. Step 2: Convert to fraction form
    294,880/406,794.24 = 199,420.16/x
  3. Step 3: Cross multiply
    294,880x = 406,794.24 × 199,420.16
  4. Step 4: Simplify right side
    294,880x = 81,122,972,427.88
  5. Step 5: Solve for x
    x = 81,122,972,427.88/294,880
  6. Step 6: Final answer
    x = 275,105.03

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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.