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Finding the Fourth Proportional to 409,885.20, 614,827.80 and 335,089.80

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Solution

The fourth proportional to 409,885.20, 614,827.80 and 335,089.80 is: 502,634.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,885.20 : 614,827.80 = 335,089.80 : x
  2. Step 2: Convert to fraction form
    409,885.20/614,827.80 = 335,089.80/x
  3. Step 3: Cross multiply
    409,885.20x = 614,827.80 × 335,089.80
  4. Step 4: Simplify right side
    409,885.20x = 206,022,524,536.44
  5. Step 5: Solve for x
    x = 206,022,524,536.44/409,885.20
  6. Step 6: Final answer
    x = 502,634.70

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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.