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Finding the Fourth Proportional to 397,542.58, 548,615.35 and 216,255.50

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Solution

The fourth proportional to 397,542.58, 548,615.35 and 216,255.50 is: 298,436.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,542.58 : 548,615.35 = 216,255.50 : x
  2. Step 2: Convert to fraction form
    397,542.58/548,615.35 = 216,255.50/x
  3. Step 3: Cross multiply
    397,542.58x = 548,615.35 × 216,255.50
  4. Step 4: Simplify right side
    397,542.58x = 118,641,085,471.71
  5. Step 5: Solve for x
    x = 118,641,085,471.71/397,542.58
  6. Step 6: Final answer
    x = 298,436.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.