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Finding the Fourth Proportional to 309,002.97, 463,324.00 and 131,418.57

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Solution

The fourth proportional to 309,002.97, 463,324.00 and 131,418.57 is: 197,051.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,002.97 : 463,324.00 = 131,418.57 : x
  2. Step 2: Convert to fraction form
    309,002.97/463,324.00 = 131,418.57/x
  3. Step 3: Cross multiply
    309,002.97x = 463,324.00 × 131,418.57
  4. Step 4: Simplify right side
    309,002.97x = 60,889,376,575.81
  5. Step 5: Solve for x
    x = 60,889,376,575.81/309,002.97
  6. Step 6: Final answer
    x = 197,051.11

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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.