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Finding the Fourth Proportional to 414,330.92, 621,824.40 and 161,732.40

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Solution

The fourth proportional to 414,330.92, 621,824.40 and 161,732.40 is: 242,726.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,330.92 : 621,824.40 = 161,732.40 : x
  2. Step 2: Convert to fraction form
    414,330.92/621,824.40 = 161,732.40/x
  3. Step 3: Cross multiply
    414,330.92x = 621,824.40 × 161,732.40
  4. Step 4: Simplify right side
    414,330.92x = 100,569,152,590.56
  5. Step 5: Solve for x
    x = 100,569,152,590.56/414,330.92
  6. Step 6: Final answer
    x = 242,726.64

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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.