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Finding the Fourth Proportional to 533,202.16, 735,819.60 and 306,847.84

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Solution

The fourth proportional to 533,202.16, 735,819.60 and 306,847.84 is: 423,450.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,202.16 : 735,819.60 = 306,847.84 : x
  2. Step 2: Convert to fraction form
    533,202.16/735,819.60 = 306,847.84/x
  3. Step 3: Cross multiply
    533,202.16x = 735,819.60 × 306,847.84
  4. Step 4: Simplify right side
    533,202.16x = 225,784,654,889.66
  5. Step 5: Solve for x
    x = 225,784,654,889.66/533,202.16
  6. Step 6: Final answer
    x = 423,450.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.