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Finding the Fourth Proportional to 397,107.51, 548,021.61 and 233,734.43

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Solution

The fourth proportional to 397,107.51, 548,021.61 and 233,734.43 is: 322,561.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,107.51 : 548,021.61 = 233,734.43 : x
  2. Step 2: Convert to fraction form
    397,107.51/548,021.61 = 233,734.43/x
  3. Step 3: Cross multiply
    397,107.51x = 548,021.61 × 233,734.43
  4. Step 4: Simplify right side
    397,107.51x = 128,091,518,641.03
  5. Step 5: Solve for x
    x = 128,091,518,641.03/397,107.51
  6. Step 6: Final answer
    x = 322,561.31

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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.