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Finding the Fourth Proportional to 414,334.92, 621,830.40 and 161,736.40

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Solution

The fourth proportional to 414,334.92, 621,830.40 and 161,736.40 is: 242,732.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,334.92 : 621,830.40 = 161,736.40 : x
  2. Step 2: Convert to fraction form
    414,334.92/621,830.40 = 161,736.40/x
  3. Step 3: Cross multiply
    414,334.92x = 621,830.40 × 161,736.40
  4. Step 4: Simplify right side
    414,334.92x = 100,572,610,306.56
  5. Step 5: Solve for x
    x = 100,572,610,306.56/414,334.92
  6. Step 6: Final answer
    x = 242,732.64

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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.