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Finding the Fourth Proportional to 414,688.44, 571,471.02 and 301,331.64

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Solution

The fourth proportional to 414,688.44, 571,471.02 and 301,331.64 is: 415,257.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,688.44 : 571,471.02 = 301,331.64 : x
  2. Step 2: Convert to fraction form
    414,688.44/571,471.02 = 301,331.64/x
  3. Step 3: Cross multiply
    414,688.44x = 571,471.02 × 301,331.64
  4. Step 4: Simplify right side
    414,688.44x = 172,202,299,669.07
  5. Step 5: Solve for x
    x = 172,202,299,669.07/414,688.44
  6. Step 6: Final answer
    x = 415,257.05

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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.