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Finding the Fourth Proportional to 297,971.13, 411,200.16 and 163,835.13

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Solution

The fourth proportional to 297,971.13, 411,200.16 and 163,835.13 is: 226,092.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,971.13 : 411,200.16 = 163,835.13 : x
  2. Step 2: Convert to fraction form
    297,971.13/411,200.16 = 163,835.13/x
  3. Step 3: Cross multiply
    297,971.13x = 411,200.16 × 163,835.13
  4. Step 4: Simplify right side
    297,971.13x = 67,369,031,669.62
  5. Step 5: Solve for x
    x = 67,369,031,669.62/297,971.13
  6. Step 6: Final answer
    x = 226,092.48

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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.