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Finding the Fourth Proportional to 415,159.38, 572,906.37 and 262,278.96

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Solution

The fourth proportional to 415,159.38, 572,906.37 and 262,278.96 is: 361,936.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,159.38 : 572,906.37 = 262,278.96 : x
  2. Step 2: Convert to fraction form
    415,159.38/572,906.37 = 262,278.96/x
  3. Step 3: Cross multiply
    415,159.38x = 572,906.37 × 262,278.96
  4. Step 4: Simplify right side
    415,159.38x = 150,261,286,900.98
  5. Step 5: Solve for x
    x = 150,261,286,900.98/415,159.38
  6. Step 6: Final answer
    x = 361,936.39

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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.