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Finding the Fourth Proportional to 297,858.23, 411,047.10 and 161,892.48

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Solution

The fourth proportional to 297,858.23, 411,047.10 and 161,892.48 is: 223,413.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,858.23 : 411,047.10 = 161,892.48 : x
  2. Step 2: Convert to fraction form
    297,858.23/411,047.10 = 161,892.48/x
  3. Step 3: Cross multiply
    297,858.23x = 411,047.10 × 161,892.48
  4. Step 4: Simplify right side
    297,858.23x = 66,545,433,606.35
  5. Step 5: Solve for x
    x = 66,545,433,606.35/297,858.23
  6. Step 6: Final answer
    x = 223,413.11

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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.