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Finding the Fourth Proportional to 664,418.67, 916,610.14 and 406,306.90

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Solution

The fourth proportional to 664,418.67, 916,610.14 and 406,306.90 is: 560,527.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,418.67 : 916,610.14 = 406,306.90 : x
  2. Step 2: Convert to fraction form
    664,418.67/916,610.14 = 406,306.90/x
  3. Step 3: Cross multiply
    664,418.67x = 916,610.14 × 406,306.90
  4. Step 4: Simplify right side
    664,418.67x = 372,425,024,491.97
  5. Step 5: Solve for x
    x = 372,425,024,491.97/664,418.67
  6. Step 6: Final answer
    x = 560,527.63

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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.