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Finding the Fourth Proportional to 397,199.45, 548,140.53 and 215,914.16

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Solution

The fourth proportional to 397,199.45, 548,140.53 and 215,914.16 is: 297,964.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,199.45 : 548,140.53 = 215,914.16 : x
  2. Step 2: Convert to fraction form
    397,199.45/548,140.53 = 215,914.16/x
  3. Step 3: Cross multiply
    397,199.45x = 548,140.53 × 215,914.16
  4. Step 4: Simplify right side
    397,199.45x = 118,351,298,276.63
  5. Step 5: Solve for x
    x = 118,351,298,276.63/397,199.45
  6. Step 6: Final answer
    x = 297,964.41

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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.