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Finding the Fourth Proportional to 330,834.80, 496,108.20 and 153,282.80

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Solution

The fourth proportional to 330,834.80, 496,108.20 and 153,282.80 is: 229,857.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,834.80 : 496,108.20 = 153,282.80 : x
  2. Step 2: Convert to fraction form
    330,834.80/496,108.20 = 153,282.80/x
  3. Step 3: Cross multiply
    330,834.80x = 496,108.20 × 153,282.80
  4. Step 4: Simplify right side
    330,834.80x = 76,044,853,998.96
  5. Step 5: Solve for x
    x = 76,044,853,998.96/330,834.80
  6. Step 6: Final answer
    x = 229,857.48

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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.