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Finding the Fourth Proportional to 460,692.60, 635,777.46 and 269,767.50

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Solution

The fourth proportional to 460,692.60, 635,777.46 and 269,767.50 is: 372,291.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,692.60 : 635,777.46 = 269,767.50 : x
  2. Step 2: Convert to fraction form
    460,692.60/635,777.46 = 269,767.50/x
  3. Step 3: Cross multiply
    460,692.60x = 635,777.46 × 269,767.50
  4. Step 4: Simplify right side
    460,692.60x = 171,512,095,940.55
  5. Step 5: Solve for x
    x = 171,512,095,940.55/460,692.60
  6. Step 6: Final answer
    x = 372,291.84

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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.