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Finding the Fourth Proportional to 411,213.70, 616,820.55 and 395,467.30

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Solution

The fourth proportional to 411,213.70, 616,820.55 and 395,467.30 is: 593,200.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,213.70 : 616,820.55 = 395,467.30 : x
  2. Step 2: Convert to fraction form
    411,213.70/616,820.55 = 395,467.30/x
  3. Step 3: Cross multiply
    411,213.70x = 616,820.55 × 395,467.30
  4. Step 4: Simplify right side
    411,213.70x = 243,932,357,493.02
  5. Step 5: Solve for x
    x = 243,932,357,493.02/411,213.70
  6. Step 6: Final answer
    x = 593,200.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.