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Finding the Fourth Proportional to 533,004.96, 735,677.46 and 303,697.44

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Solution

The fourth proportional to 533,004.96, 735,677.46 and 303,697.44 is: 419,176.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,004.96 : 735,677.46 = 303,697.44 : x
  2. Step 2: Convert to fraction form
    533,004.96/735,677.46 = 303,697.44/x
  3. Step 3: Cross multiply
    533,004.96x = 735,677.46 × 303,697.44
  4. Step 4: Simplify right side
    533,004.96x = 223,423,361,267.70
  5. Step 5: Solve for x
    x = 223,423,361,267.70/533,004.96
  6. Step 6: Final answer
    x = 419,176.89

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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.