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Finding the Fourth Proportional to 414,172.63, 621,324.56 and 133,624.27

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Solution

The fourth proportional to 414,172.63, 621,324.56 and 133,624.27 is: 200,457.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,172.63 : 621,324.56 = 133,624.27 : x
  2. Step 2: Convert to fraction form
    414,172.63/621,324.56 = 133,624.27/x
  3. Step 3: Cross multiply
    414,172.63x = 621,324.56 × 133,624.27
  4. Step 4: Simplify right side
    414,172.63x = 83,024,040,763.07
  5. Step 5: Solve for x
    x = 83,024,040,763.07/414,172.63
  6. Step 6: Final answer
    x = 200,457.57

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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.