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Finding the Fourth Proportional to 294,224.37, 406,017.67 and 166,897.23

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Solution

The fourth proportional to 294,224.37, 406,017.67 and 166,897.23 is: 230,311.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,224.37 : 406,017.67 = 166,897.23 : x
  2. Step 2: Convert to fraction form
    294,224.37/406,017.67 = 166,897.23/x
  3. Step 3: Cross multiply
    294,224.37x = 406,017.67 × 166,897.23
  4. Step 4: Simplify right side
    294,224.37x = 67,763,224,454.05
  5. Step 5: Solve for x
    x = 67,763,224,454.05/294,224.37
  6. Step 6: Final answer
    x = 230,311.39

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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.