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Finding the Fourth Proportional to 399,781.82, 599,254.76 and 189,168.86

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Solution

The fourth proportional to 399,781.82, 599,254.76 and 189,168.86 is: 283,555.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,781.82 : 599,254.76 = 189,168.86 : x
  2. Step 2: Convert to fraction form
    399,781.82/599,254.76 = 189,168.86/x
  3. Step 3: Cross multiply
    399,781.82x = 599,254.76 × 189,168.86
  4. Step 4: Simplify right side
    399,781.82x = 113,360,339,798.77
  5. Step 5: Solve for x
    x = 113,360,339,798.77/399,781.82
  6. Step 6: Final answer
    x = 283,555.51

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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.