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Finding the Fourth Proportional to 320,003.20, 479,083.20 and 310,787.20

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Solution

The fourth proportional to 320,003.20, 479,083.20 and 310,787.20 is: 465,285.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,003.20 : 479,083.20 = 310,787.20 : x
  2. Step 2: Convert to fraction form
    320,003.20/479,083.20 = 310,787.20/x
  3. Step 3: Cross multiply
    320,003.20x = 479,083.20 × 310,787.20
  4. Step 4: Simplify right side
    320,003.20x = 148,892,926,295.04
  5. Step 5: Solve for x
    x = 148,892,926,295.04/320,003.20
  6. Step 6: Final answer
    x = 465,285.74

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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.