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Finding the Fourth Proportional to 330,820.80, 496,231.20 and 302,827.20

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Solution

The fourth proportional to 330,820.80, 496,231.20 and 302,827.20 is: 454,240.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,820.80 : 496,231.20 = 302,827.20 : x
  2. Step 2: Convert to fraction form
    330,820.80/496,231.20 = 302,827.20/x
  3. Step 3: Cross multiply
    330,820.80x = 496,231.20 × 302,827.20
  4. Step 4: Simplify right side
    330,820.80x = 150,272,304,848.64
  5. Step 5: Solve for x
    x = 150,272,304,848.64/330,820.80
  6. Step 6: Final answer
    x = 454,240.80

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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.