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Finding the Fourth Proportional to 285,470.80, 427,745.40 and 238,469.20

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Solution

The fourth proportional to 285,470.80, 427,745.40 and 238,469.20 is: 357,318.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,470.80 : 427,745.40 = 238,469.20 : x
  2. Step 2: Convert to fraction form
    285,470.80/427,745.40 = 238,469.20/x
  3. Step 3: Cross multiply
    285,470.80x = 427,745.40 × 238,469.20
  4. Step 4: Simplify right side
    285,470.80x = 102,004,103,341.68
  5. Step 5: Solve for x
    x = 102,004,103,341.68/285,470.80
  6. Step 6: Final answer
    x = 357,318.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.