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Finding the Fourth Proportional to 494,663.80, 742,024.41 and 139,648.09

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Solution

The fourth proportional to 494,663.80, 742,024.41 and 139,648.09 is: 209,480.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,663.80 : 742,024.41 = 139,648.09 : x
  2. Step 2: Convert to fraction form
    494,663.80/742,024.41 = 139,648.09/x
  3. Step 3: Cross multiply
    494,663.80x = 742,024.41 × 139,648.09
  4. Step 4: Simplify right side
    494,663.80x = 103,622,291,589.88
  5. Step 5: Solve for x
    x = 103,622,291,589.88/494,663.80
  6. Step 6: Final answer
    x = 209,480.24

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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.