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Finding the Fourth Proportional to 397,382.27, 548,365.70 and 216,094.01

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Solution

The fourth proportional to 397,382.27, 548,365.70 and 216,094.01 is: 298,197.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,382.27 : 548,365.70 = 216,094.01 : x
  2. Step 2: Convert to fraction form
    397,382.27/548,365.70 = 216,094.01/x
  3. Step 3: Cross multiply
    397,382.27x = 548,365.70 × 216,094.01
  4. Step 4: Simplify right side
    397,382.27x = 118,498,541,978.99
  5. Step 5: Solve for x
    x = 118,498,541,978.99/397,382.27
  6. Step 6: Final answer
    x = 298,197.86

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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.