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Finding the Fourth Proportional to 329,596.20, 493,616.70 and 223,842.60

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Solution

The fourth proportional to 329,596.20, 493,616.70 and 223,842.60 is: 335,235.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,596.20 : 493,616.70 = 223,842.60 : x
  2. Step 2: Convert to fraction form
    329,596.20/493,616.70 = 223,842.60/x
  3. Step 3: Cross multiply
    329,596.20x = 493,616.70 × 223,842.60
  4. Step 4: Simplify right side
    329,596.20x = 110,492,445,531.42
  5. Step 5: Solve for x
    x = 110,492,445,531.42/329,596.20
  6. Step 6: Final answer
    x = 335,235.80

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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.