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Finding the Fourth Proportional to 410,687.42, 566,692.61 and 229,376.21

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Solution

The fourth proportional to 410,687.42, 566,692.61 and 229,376.21 is: 316,507.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,687.42 : 566,692.61 = 229,376.21 : x
  2. Step 2: Convert to fraction form
    410,687.42/566,692.61 = 229,376.21/x
  3. Step 3: Cross multiply
    410,687.42x = 566,692.61 × 229,376.21
  4. Step 4: Simplify right side
    410,687.42x = 129,985,799,136.46
  5. Step 5: Solve for x
    x = 129,985,799,136.46/410,687.42
  6. Step 6: Final answer
    x = 316,507.87

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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.