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Finding the Fourth Proportional to 414,415.96, 571,893.21 and 233,128.03

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Solution

The fourth proportional to 414,415.96, 571,893.21 and 233,128.03 is: 321,716.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,415.96 : 571,893.21 = 233,128.03 : x
  2. Step 2: Convert to fraction form
    414,415.96/571,893.21 = 233,128.03/x
  3. Step 3: Cross multiply
    414,415.96x = 571,893.21 × 233,128.03
  4. Step 4: Simplify right side
    414,415.96x = 133,324,337,417.68
  5. Step 5: Solve for x
    x = 133,324,337,417.68/414,415.96
  6. Step 6: Final answer
    x = 321,716.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.