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Finding the Fourth Proportional to 342,052.20, 513,078.30 and 227,890.80

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Solution

The fourth proportional to 342,052.20, 513,078.30 and 227,890.80 is: 341,836.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,052.20 : 513,078.30 = 227,890.80 : x
  2. Step 2: Convert to fraction form
    342,052.20/513,078.30 = 227,890.80/x
  3. Step 3: Cross multiply
    342,052.20x = 513,078.30 × 227,890.80
  4. Step 4: Simplify right side
    342,052.20x = 116,925,824,249.64
  5. Step 5: Solve for x
    x = 116,925,824,249.64/342,052.20
  6. Step 6: Final answer
    x = 341,836.20

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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.