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Finding the Fourth Proportional to 455,513.22, 683,199.77 and 151,912.70

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Solution

The fourth proportional to 455,513.22, 683,199.77 and 151,912.70 is: 227,845.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,513.22 : 683,199.77 = 151,912.70 : x
  2. Step 2: Convert to fraction form
    455,513.22/683,199.77 = 151,912.70/x
  3. Step 3: Cross multiply
    455,513.22x = 683,199.77 × 151,912.70
  4. Step 4: Simplify right side
    455,513.22x = 103,786,717,524.52
  5. Step 5: Solve for x
    x = 103,786,717,524.52/455,513.22
  6. Step 6: Final answer
    x = 227,845.68

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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.