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Finding the Fourth Proportional to 321,864.40, 482,796.60 and 308,213.20

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Solution

The fourth proportional to 321,864.40, 482,796.60 and 308,213.20 is: 462,319.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,864.40 : 482,796.60 = 308,213.20 : x
  2. Step 2: Convert to fraction form
    321,864.40/482,796.60 = 308,213.20/x
  3. Step 3: Cross multiply
    321,864.40x = 482,796.60 × 308,213.20
  4. Step 4: Simplify right side
    321,864.40x = 148,804,285,035.12
  5. Step 5: Solve for x
    x = 148,804,285,035.12/321,864.40
  6. Step 6: Final answer
    x = 462,319.80

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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.