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Finding the Fourth Proportional to 498,362.47, 747,617.06 and 161,291.09

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Solution

The fourth proportional to 498,362.47, 747,617.06 and 161,291.09 is: 241,960.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,362.47 : 747,617.06 = 161,291.09 : x
  2. Step 2: Convert to fraction form
    498,362.47/747,617.06 = 161,291.09/x
  3. Step 3: Cross multiply
    498,362.47x = 747,617.06 × 161,291.09
  4. Step 4: Simplify right side
    498,362.47x = 120,583,972,782.27
  5. Step 5: Solve for x
    x = 120,583,972,782.27/498,362.47
  6. Step 6: Final answer
    x = 241,960.38

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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.