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Finding the Fourth Proportional to 414,285.51, 571,576.56 and 337,672.88

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Solution

The fourth proportional to 414,285.51, 571,576.56 and 337,672.88 is: 465,876.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,285.51 : 571,576.56 = 337,672.88 : x
  2. Step 2: Convert to fraction form
    414,285.51/571,576.56 = 337,672.88/x
  3. Step 3: Cross multiply
    414,285.51x = 571,576.56 × 337,672.88
  4. Step 4: Simplify right side
    414,285.51x = 193,005,901,726.75
  5. Step 5: Solve for x
    x = 193,005,901,726.75/414,285.51
  6. Step 6: Final answer
    x = 465,876.54

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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.