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Finding the Fourth Proportional to 533,287.66, 799,852.83 and 196,250.02

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Solution

The fourth proportional to 533,287.66, 799,852.83 and 196,250.02 is: 294,346.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,287.66 : 799,852.83 = 196,250.02 : x
  2. Step 2: Convert to fraction form
    533,287.66/799,852.83 = 196,250.02/x
  3. Step 3: Cross multiply
    533,287.66x = 799,852.83 × 196,250.02
  4. Step 4: Simplify right side
    533,287.66x = 156,971,133,884.56
  5. Step 5: Solve for x
    x = 156,971,133,884.56/533,287.66
  6. Step 6: Final answer
    x = 294,346.08

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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.