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Finding the Fourth Proportional to 406,494.78, 609,613.01 and 379,959.65

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Solution

The fourth proportional to 406,494.78, 609,613.01 and 379,959.65 is: 569,818.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,494.78 : 609,613.01 = 379,959.65 : x
  2. Step 2: Convert to fraction form
    406,494.78/609,613.01 = 379,959.65/x
  3. Step 3: Cross multiply
    406,494.78x = 609,613.01 × 379,959.65
  4. Step 4: Simplify right side
    406,494.78x = 231,628,340,967.18
  5. Step 5: Solve for x
    x = 231,628,340,967.18/406,494.78
  6. Step 6: Final answer
    x = 569,818.73

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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.