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Finding the Fourth Proportional to 638,542.28, 957,166.63 and 414,045.11

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Solution

The fourth proportional to 638,542.28, 957,166.63 and 414,045.11 is: 620,648.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,542.28 : 957,166.63 = 414,045.11 : x
  2. Step 2: Convert to fraction form
    638,542.28/957,166.63 = 414,045.11/x
  3. Step 3: Cross multiply
    638,542.28x = 957,166.63 × 414,045.11
  4. Step 4: Simplify right side
    638,542.28x = 396,310,162,606.68
  5. Step 5: Solve for x
    x = 396,310,162,606.68/638,542.28
  6. Step 6: Final answer
    x = 620,648.27

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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.