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Finding the Fourth Proportional to 406,493.29, 609,610.76 and 379,958.14

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Solution

The fourth proportional to 406,493.29, 609,610.76 and 379,958.14 is: 569,816.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,493.29 : 609,610.76 = 379,958.14 : x
  2. Step 2: Convert to fraction form
    406,493.29/609,610.76 = 379,958.14/x
  3. Step 3: Cross multiply
    406,493.29x = 609,610.76 × 379,958.14
  4. Step 4: Simplify right side
    406,493.29x = 231,626,570,780.65
  5. Step 5: Solve for x
    x = 231,626,570,780.65/406,493.29
  6. Step 6: Final answer
    x = 569,816.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.