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Finding the Fourth Proportional to 413,882.89, 571,365.07 and 270,861.39

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Solution

The fourth proportional to 413,882.89, 571,365.07 and 270,861.39 is: 373,923.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,882.89 : 571,365.07 = 270,861.39 : x
  2. Step 2: Convert to fraction form
    413,882.89/571,365.07 = 270,861.39/x
  3. Step 3: Cross multiply
    413,882.89x = 571,365.07 × 270,861.39
  4. Step 4: Simplify right side
    413,882.89x = 154,760,736,380.49
  5. Step 5: Solve for x
    x = 154,760,736,380.49/413,882.89
  6. Step 6: Final answer
    x = 373,923.98

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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.