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Finding the Fourth Proportional to 397,693.02, 548,816.43 and 218,845.02

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Solution

The fourth proportional to 397,693.02, 548,816.43 and 218,845.02 is: 302,006.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,693.02 : 548,816.43 = 218,845.02 : x
  2. Step 2: Convert to fraction form
    397,693.02/548,816.43 = 218,845.02/x
  3. Step 3: Cross multiply
    397,693.02x = 548,816.43 × 218,845.02
  4. Step 4: Simplify right side
    397,693.02x = 120,105,742,599.68
  5. Step 5: Solve for x
    x = 120,105,742,599.68/397,693.02
  6. Step 6: Final answer
    x = 302,006.16

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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.