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Finding the Fourth Proportional to 533,354.94, 800,033.16 and 217,811.84

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Solution

The fourth proportional to 533,354.94, 800,033.16 and 217,811.84 is: 326,718.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,354.94 : 800,033.16 = 217,811.84 : x
  2. Step 2: Convert to fraction form
    533,354.94/800,033.16 = 217,811.84/x
  3. Step 3: Cross multiply
    533,354.94x = 800,033.16 × 217,811.84
  4. Step 4: Simplify right side
    533,354.94x = 174,256,694,640.61
  5. Step 5: Solve for x
    x = 174,256,694,640.61/533,354.94
  6. Step 6: Final answer
    x = 326,718.07

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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.