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Finding the Fourth Proportional to 309,022.24, 463,524.72 and 98,672.80

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Solution

The fourth proportional to 309,022.24, 463,524.72 and 98,672.80 is: 148,006.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,022.24 : 463,524.72 = 98,672.80 : x
  2. Step 2: Convert to fraction form
    309,022.24/463,524.72 = 98,672.80/x
  3. Step 3: Cross multiply
    309,022.24x = 463,524.72 × 98,672.80
  4. Step 4: Simplify right side
    309,022.24x = 45,737,281,991.62
  5. Step 5: Solve for x
    x = 45,737,281,991.62/309,022.24
  6. Step 6: Final answer
    x = 148,006.44

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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.