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Finding the Fourth Proportional to 468,072.16, 702,107.60 and 187,786.24

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Solution

The fourth proportional to 468,072.16, 702,107.60 and 187,786.24 is: 281,679.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,072.16 : 702,107.60 = 187,786.24 : x
  2. Step 2: Convert to fraction form
    468,072.16/702,107.60 = 187,786.24/x
  3. Step 3: Cross multiply
    468,072.16x = 702,107.60 × 187,786.24
  4. Step 4: Simplify right side
    468,072.16x = 131,846,146,279.42
  5. Step 5: Solve for x
    x = 131,846,146,279.42/468,072.16
  6. Step 6: Final answer
    x = 281,679.10

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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.