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Finding the Fourth Proportional to 294,224.43, 406,017.76 and 166,897.29

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Solution

The fourth proportional to 294,224.43, 406,017.76 and 166,897.29 is: 230,311.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,224.43 : 406,017.76 = 166,897.29 : x
  2. Step 2: Convert to fraction form
    294,224.43/406,017.76 = 166,897.29/x
  3. Step 3: Cross multiply
    294,224.43x = 406,017.76 × 166,897.29
  4. Step 4: Simplify right side
    294,224.43x = 67,763,263,835.87
  5. Step 5: Solve for x
    x = 67,763,263,835.87/294,224.43
  6. Step 6: Final answer
    x = 230,311.48

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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.