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Finding the Fourth Proportional to 533,270.20, 735,958.38 and 303,897.64

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Solution

The fourth proportional to 533,270.20, 735,958.38 and 303,897.64 is: 419,404.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,270.20 : 735,958.38 = 303,897.64 : x
  2. Step 2: Convert to fraction form
    533,270.20/735,958.38 = 303,897.64/x
  3. Step 3: Cross multiply
    533,270.20x = 735,958.38 × 303,897.64
  4. Step 4: Simplify right side
    533,270.20x = 223,656,014,820.22
  5. Step 5: Solve for x
    x = 223,656,014,820.22/533,270.20
  6. Step 6: Final answer
    x = 419,404.67

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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.