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Finding the Fourth Proportional to 464,912.34, 697,126.52 and 165,349.23

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Solution

The fourth proportional to 464,912.34, 697,126.52 and 165,349.23 is: 247,937.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,912.34 : 697,126.52 = 165,349.23 : x
  2. Step 2: Convert to fraction form
    464,912.34/697,126.52 = 165,349.23/x
  3. Step 3: Cross multiply
    464,912.34x = 697,126.52 × 165,349.23
  4. Step 4: Simplify right side
    464,912.34x = 115,269,332,467.83
  5. Step 5: Solve for x
    x = 115,269,332,467.83/464,912.34
  6. Step 6: Final answer
    x = 247,937.78

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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.