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Finding the Fourth Proportional to 414,238.98, 571,295.70 and 285,383.10

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Solution

The fourth proportional to 414,238.98, 571,295.70 and 285,383.10 is: 393,584.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,238.98 : 571,295.70 = 285,383.10 : x
  2. Step 2: Convert to fraction form
    414,238.98/571,295.70 = 285,383.10/x
  3. Step 3: Cross multiply
    414,238.98x = 571,295.70 × 285,383.10
  4. Step 4: Simplify right side
    414,238.98x = 163,038,137,882.67
  5. Step 5: Solve for x
    x = 163,038,137,882.67/414,238.98
  6. Step 6: Final answer
    x = 393,584.73

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