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Finding the Fourth Proportional to 409,676.17, 565,032.63 and 266,481.94

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Solution

The fourth proportional to 409,676.17, 565,032.63 and 266,481.94 is: 367,536.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,676.17 : 565,032.63 = 266,481.94 : x
  2. Step 2: Convert to fraction form
    409,676.17/565,032.63 = 266,481.94/x
  3. Step 3: Cross multiply
    409,676.17x = 565,032.63 × 266,481.94
  4. Step 4: Simplify right side
    409,676.17x = 150,570,991,405.70
  5. Step 5: Solve for x
    x = 150,570,991,405.70/409,676.17
  6. Step 6: Final answer
    x = 367,536.61

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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.