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Finding the Fourth Proportional to 408,003.85, 611,584.58 and 183,471.85

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Solution

The fourth proportional to 408,003.85, 611,584.58 and 183,471.85 is: 275,018.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,003.85 : 611,584.58 = 183,471.85 : x
  2. Step 2: Convert to fraction form
    408,003.85/611,584.58 = 183,471.85/x
  3. Step 3: Cross multiply
    408,003.85x = 611,584.58 × 183,471.85
  4. Step 4: Simplify right side
    408,003.85x = 112,208,553,406.71
  5. Step 5: Solve for x
    x = 112,208,553,406.71/408,003.85
  6. Step 6: Final answer
    x = 275,018.37

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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.