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Finding the Fourth Proportional to 464,930.22, 697,395.33 and 149,608.56

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Solution

The fourth proportional to 464,930.22, 697,395.33 and 149,608.56 is: 224,412.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,930.22 : 697,395.33 = 149,608.56 : x
  2. Step 2: Convert to fraction form
    464,930.22/697,395.33 = 149,608.56/x
  3. Step 3: Cross multiply
    464,930.22x = 697,395.33 × 149,608.56
  4. Step 4: Simplify right side
    464,930.22x = 104,336,311,072.03
  5. Step 5: Solve for x
    x = 104,336,311,072.03/464,930.22
  6. Step 6: Final answer
    x = 224,412.84

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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.