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Finding the Fourth Proportional to 408,673.22, 563,982.38 and 255,662.50

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Solution

The fourth proportional to 408,673.22, 563,982.38 and 255,662.50 is: 352,822.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,673.22 : 563,982.38 = 255,662.50 : x
  2. Step 2: Convert to fraction form
    408,673.22/563,982.38 = 255,662.50/x
  3. Step 3: Cross multiply
    408,673.22x = 563,982.38 × 255,662.50
  4. Step 4: Simplify right side
    408,673.22x = 144,189,145,226.75
  5. Step 5: Solve for x
    x = 144,189,145,226.75/408,673.22
  6. Step 6: Final answer
    x = 352,822.59

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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.