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Finding the Fourth Proportional to 410,973, 567,146.07 and 229,692.57

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Solution

The fourth proportional to 410,973, 567,146.07 and 229,692.57 is: 316,977.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,973 : 567,146.07 = 229,692.57 : x
  2. Step 2: Convert to fraction form
    410,973/567,146.07 = 229,692.57/x
  3. Step 3: Cross multiply
    410,973x = 567,146.07 × 229,692.57
  4. Step 4: Simplify right side
    410,973x = 130,269,238,383.70
  5. Step 5: Solve for x
    x = 130,269,238,383.70/410,973
  6. Step 6: Final answer
    x = 316,977.61

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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.