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Finding the Fourth Proportional to 397,144.01, 548,062.94 and 215,855.96

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Solution

The fourth proportional to 397,144.01, 548,062.94 and 215,855.96 is: 297,883.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,144.01 : 548,062.94 = 215,855.96 : x
  2. Step 2: Convert to fraction form
    397,144.01/548,062.94 = 215,855.96/x
  3. Step 3: Cross multiply
    397,144.01x = 548,062.94 × 215,855.96
  4. Step 4: Simplify right side
    397,144.01x = 118,302,649,853.45
  5. Step 5: Solve for x
    x = 118,302,649,853.45/397,144.01
  6. Step 6: Final answer
    x = 297,883.50

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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.