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Finding the Fourth Proportional to 414,059.32, 621,016.93 and 133,576.57

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Solution

The fourth proportional to 414,059.32, 621,016.93 and 133,576.57 is: 200,341.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,059.32 : 621,016.93 = 133,576.57 : x
  2. Step 2: Convert to fraction form
    414,059.32/621,016.93 = 133,576.57/x
  3. Step 3: Cross multiply
    414,059.32x = 621,016.93 × 133,576.57
  4. Step 4: Simplify right side
    414,059.32x = 82,953,308,316.25
  5. Step 5: Solve for x
    x = 82,953,308,316.25/414,059.32
  6. Step 6: Final answer
    x = 200,341.61

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1.5x scale

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.