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Finding the Fourth Proportional to 414,153.27, 621,109.76 and 161,377.38

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Solution

The fourth proportional to 414,153.27, 621,109.76 and 161,377.38 is: 242,019.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,153.27 : 621,109.76 = 161,377.38 : x
  2. Step 2: Convert to fraction form
    414,153.27/621,109.76 = 161,377.38/x
  3. Step 3: Cross multiply
    414,153.27x = 621,109.76 × 161,377.38
  4. Step 4: Simplify right side
    414,153.27x = 100,233,064,954.34
  5. Step 5: Solve for x
    x = 100,233,064,954.34/414,153.27
  6. Step 6: Final answer
    x = 242,019.25

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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.