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Finding the Fourth Proportional to 533,812.20, 800,715.06 and 214,108.44

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Solution

The fourth proportional to 533,812.20, 800,715.06 and 214,108.44 is: 321,161.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,812.20 : 800,715.06 = 214,108.44 : x
  2. Step 2: Convert to fraction form
    533,812.20/800,715.06 = 214,108.44/x
  3. Step 3: Cross multiply
    533,812.20x = 800,715.06 × 214,108.44
  4. Step 4: Simplify right side
    533,812.20x = 171,439,852,381.11
  5. Step 5: Solve for x
    x = 171,439,852,381.11/533,812.20
  6. Step 6: Final answer
    x = 321,161.36

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1.5x scale

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.