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Finding the Fourth Proportional to 533,446.07, 800,794.22 and 421,201.94

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Solution

The fourth proportional to 533,446.07, 800,794.22 and 421,201.94 is: 632,296.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,446.07 : 800,794.22 = 421,201.94 : x
  2. Step 2: Convert to fraction form
    533,446.07/800,794.22 = 421,201.94/x
  3. Step 3: Cross multiply
    533,446.07x = 800,794.22 × 421,201.94
  4. Step 4: Simplify right side
    533,446.07x = 337,296,072,894.81
  5. Step 5: Solve for x
    x = 337,296,072,894.81/533,446.07
  6. Step 6: Final answer
    x = 632,296.49

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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.