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Finding the Fourth Proportional to 414,291.48, 571,584.78 and 337,678.85

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Solution

The fourth proportional to 414,291.48, 571,584.78 and 337,678.85 is: 465,884.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,291.48 : 571,584.78 = 337,678.85 : x
  2. Step 2: Convert to fraction form
    414,291.48/571,584.78 = 337,678.85/x
  3. Step 3: Cross multiply
    414,291.48x = 571,584.78 × 337,678.85
  4. Step 4: Simplify right side
    414,291.48x = 193,012,088,329.98
  5. Step 5: Solve for x
    x = 193,012,088,329.98/414,291.48
  6. Step 6: Final answer
    x = 465,884.76

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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.