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Finding the Fourth Proportional to 533,200.93, 799,801.24 and 213,496.76

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Solution

The fourth proportional to 533,200.93, 799,801.24 and 213,496.76 is: 320,245.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,200.93 : 799,801.24 = 213,496.76 : x
  2. Step 2: Convert to fraction form
    533,200.93/799,801.24 = 213,496.76/x
  3. Step 3: Cross multiply
    533,200.93x = 799,801.24 × 213,496.76
  4. Step 4: Simplify right side
    533,200.93x = 170,754,975,250.05
  5. Step 5: Solve for x
    x = 170,754,975,250.05/533,200.93
  6. Step 6: Final answer
    x = 320,245.08

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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.