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Finding the Fourth Proportional to 406,500.78, 609,622 and 379,965.66

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Solution

The fourth proportional to 406,500.78, 609,622 and 379,965.66 is: 569,827.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,500.78 : 609,622 = 379,965.66 : x
  2. Step 2: Convert to fraction form
    406,500.78/609,622 = 379,965.66/x
  3. Step 3: Cross multiply
    406,500.78x = 609,622 × 379,965.66
  4. Step 4: Simplify right side
    406,500.78x = 231,635,425,580.52
  5. Step 5: Solve for x
    x = 231,635,425,580.52/406,500.78
  6. Step 6: Final answer
    x = 569,827.75

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