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Finding the Fourth Proportional to 297,692.01, 410,588.64 and 205,963.92

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Solution

The fourth proportional to 297,692.01, 410,588.64 and 205,963.92 is: 284,073.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,692.01 : 410,588.64 = 205,963.92 : x
  2. Step 2: Convert to fraction form
    297,692.01/410,588.64 = 205,963.92/x
  3. Step 3: Cross multiply
    297,692.01x = 410,588.64 × 205,963.92
  4. Step 4: Simplify right side
    297,692.01x = 84,566,445,801.87
  5. Step 5: Solve for x
    x = 84,566,445,801.87/297,692.01
  6. Step 6: Final answer
    x = 284,073.62

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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.