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Finding the Fourth Proportional to 498,721.23, 748,191.23 and 161,795.96

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Solution

The fourth proportional to 498,721.23, 748,191.23 and 161,795.96 is: 242,729.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,721.23 : 748,191.23 = 161,795.96 : x
  2. Step 2: Convert to fraction form
    498,721.23/748,191.23 = 161,795.96/x
  3. Step 3: Cross multiply
    498,721.23x = 748,191.23 × 161,795.96
  4. Step 4: Simplify right side
    498,721.23x = 121,054,313,771.50
  5. Step 5: Solve for x
    x = 121,054,313,771.50/498,721.23
  6. Step 6: Final answer
    x = 242,729.42

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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.