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Finding the Fourth Proportional to 410,286.42, 565,748.90 and 266,780.34

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Solution

The fourth proportional to 410,286.42, 565,748.90 and 266,780.34 is: 367,866.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,286.42 : 565,748.90 = 266,780.34 : x
  2. Step 2: Convert to fraction form
    410,286.42/565,748.90 = 266,780.34/x
  3. Step 3: Cross multiply
    410,286.42x = 565,748.90 × 266,780.34
  4. Step 4: Simplify right side
    410,286.42x = 150,930,683,896.63
  5. Step 5: Solve for x
    x = 150,930,683,896.63/410,286.42
  6. Step 6: Final answer
    x = 367,866.63

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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.