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Finding the Fourth Proportional to 577,861.86, 866,830.82 and 151,408.12

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Solution

The fourth proportional to 577,861.86, 866,830.82 and 151,408.12 is: 227,122.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,861.86 : 866,830.82 = 151,408.12 : x
  2. Step 2: Convert to fraction form
    577,861.86/866,830.82 = 151,408.12/x
  3. Step 3: Cross multiply
    577,861.86x = 866,830.82 × 151,408.12
  4. Step 4: Simplify right side
    577,861.86x = 131,245,224,814.26
  5. Step 5: Solve for x
    x = 131,245,224,814.26/577,861.86
  6. Step 6: Final answer
    x = 227,122.14

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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.