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Finding the Fourth Proportional to 329,095.20, 493,642.80 and 214,933.80

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Solution

The fourth proportional to 329,095.20, 493,642.80 and 214,933.80 is: 322,400.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,095.20 : 493,642.80 = 214,933.80 : x
  2. Step 2: Convert to fraction form
    329,095.20/493,642.80 = 214,933.80/x
  3. Step 3: Cross multiply
    329,095.20x = 493,642.80 × 214,933.80
  4. Step 4: Simplify right side
    329,095.20x = 106,100,522,846.64
  5. Step 5: Solve for x
    x = 106,100,522,846.64/329,095.20
  6. Step 6: Final answer
    x = 322,400.70

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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.