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Finding the Fourth Proportional to 334,023.20, 501,034.80 and 219,861.80

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Solution

The fourth proportional to 334,023.20, 501,034.80 and 219,861.80 is: 329,792.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,023.20 : 501,034.80 = 219,861.80 : x
  2. Step 2: Convert to fraction form
    334,023.20/501,034.80 = 219,861.80/x
  3. Step 3: Cross multiply
    334,023.20x = 501,034.80 × 219,861.80
  4. Step 4: Simplify right side
    334,023.20x = 110,158,412,990.64
  5. Step 5: Solve for x
    x = 110,158,412,990.64/334,023.20
  6. Step 6: Final answer
    x = 329,792.70

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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.