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Finding the Fourth Proportional to 321,502.96, 482,334.36 and 96,858.32

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Solution

The fourth proportional to 321,502.96, 482,334.36 and 96,858.32 is: 145,311.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,502.96 : 482,334.36 = 96,858.32 : x
  2. Step 2: Convert to fraction form
    321,502.96/482,334.36 = 96,858.32/x
  3. Step 3: Cross multiply
    321,502.96x = 482,334.36 × 96,858.32
  4. Step 4: Simplify right side
    321,502.96x = 46,718,095,787.88
  5. Step 5: Solve for x
    x = 46,718,095,787.88/321,502.96
  6. Step 6: Final answer
    x = 145,311.56

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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.