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Finding the Fourth Proportional to 397,723.52, 548,858.52 and 218,875.52

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Solution

The fourth proportional to 397,723.52, 548,858.52 and 218,875.52 is: 302,048.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,723.52 : 548,858.52 = 218,875.52 : x
  2. Step 2: Convert to fraction form
    397,723.52/548,858.52 = 218,875.52/x
  3. Step 3: Cross multiply
    397,723.52x = 548,858.52 × 218,875.52
  4. Step 4: Simplify right side
    397,723.52x = 120,131,693,971.43
  5. Step 5: Solve for x
    x = 120,131,693,971.43/397,723.52
  6. Step 6: Final answer
    x = 302,048.25

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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.