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Finding the Fourth Proportional to 610,172.70, 915,249.24 and 189,448.98

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Solution

The fourth proportional to 610,172.70, 915,249.24 and 189,448.98 is: 284,170.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,172.70 : 915,249.24 = 189,448.98 : x
  2. Step 2: Convert to fraction form
    610,172.70/915,249.24 = 189,448.98/x
  3. Step 3: Cross multiply
    610,172.70x = 915,249.24 × 189,448.98
  4. Step 4: Simplify right side
    610,172.70x = 173,393,034,963.78
  5. Step 5: Solve for x
    x = 173,393,034,963.78/610,172.70
  6. Step 6: Final answer
    x = 284,170.42

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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.