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Finding the Fourth Proportional to 534,380.40, 800,533.80 and 297,298.80

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Solution

The fourth proportional to 534,380.40, 800,533.80 and 297,298.80 is: 445,371.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,380.40 : 800,533.80 = 297,298.80 : x
  2. Step 2: Convert to fraction form
    534,380.40/800,533.80 = 297,298.80/x
  3. Step 3: Cross multiply
    534,380.40x = 800,533.80 × 297,298.80
  4. Step 4: Simplify right side
    534,380.40x = 237,997,738,099.44
  5. Step 5: Solve for x
    x = 237,997,738,099.44/534,380.40
  6. Step 6: Final answer
    x = 445,371.38

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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.