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Finding the Fourth Proportional to 297,858.26, 411,048.56 and 161,892.17

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Solution

The fourth proportional to 297,858.26, 411,048.56 and 161,892.17 is: 223,413.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,858.26 : 411,048.56 = 161,892.17 : x
  2. Step 2: Convert to fraction form
    297,858.26/411,048.56 = 161,892.17/x
  3. Step 3: Cross multiply
    297,858.26x = 411,048.56 × 161,892.17
  4. Step 4: Simplify right side
    297,858.26x = 66,545,543,353.78
  5. Step 5: Solve for x
    x = 66,545,543,353.78/297,858.26
  6. Step 6: Final answer
    x = 223,413.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.