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Finding the Fourth Proportional to 294,708.35, 406,692.01 and 163,894.03

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Solution

The fourth proportional to 294,708.35, 406,692.01 and 163,894.03 is: 226,170.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,708.35 : 406,692.01 = 163,894.03 : x
  2. Step 2: Convert to fraction form
    294,708.35/406,692.01 = 163,894.03/x
  3. Step 3: Cross multiply
    294,708.35x = 406,692.01 × 163,894.03
  4. Step 4: Simplify right side
    294,708.35x = 66,654,392,487.70
  5. Step 5: Solve for x
    x = 66,654,392,487.70/294,708.35
  6. Step 6: Final answer
    x = 226,170.70

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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.