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Finding the Fourth Proportional to 398,685.12, 598,027.68 and 273,647.04

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Solution

The fourth proportional to 398,685.12, 598,027.68 and 273,647.04 is: 410,470.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,685.12 : 598,027.68 = 273,647.04 : x
  2. Step 2: Convert to fraction form
    398,685.12/598,027.68 = 273,647.04/x
  3. Step 3: Cross multiply
    398,685.12x = 598,027.68 × 273,647.04
  4. Step 4: Simplify right side
    398,685.12x = 163,648,504,470.07
  5. Step 5: Solve for x
    x = 163,648,504,470.07/398,685.12
  6. Step 6: Final answer
    x = 410,470.56

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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.