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Finding the Fourth Proportional to 344,575.20, 516,085.20 and 204,607.20

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Solution

The fourth proportional to 344,575.20, 516,085.20 and 204,607.20 is: 306,449.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,575.20 : 516,085.20 = 204,607.20 : x
  2. Step 2: Convert to fraction form
    344,575.20/516,085.20 = 204,607.20/x
  3. Step 3: Cross multiply
    344,575.20x = 516,085.20 × 204,607.20
  4. Step 4: Simplify right side
    344,575.20x = 105,594,747,733.44
  5. Step 5: Solve for x
    x = 105,594,747,733.44/344,575.20
  6. Step 6: Final answer
    x = 306,449.06

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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.