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Finding the Fourth Proportional to 334,571.09, 461,648.52 and 189,376.16

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Solution

The fourth proportional to 334,571.09, 461,648.52 and 189,376.16 is: 261,305.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,571.09 : 461,648.52 = 189,376.16 : x
  2. Step 2: Convert to fraction form
    334,571.09/461,648.52 = 189,376.16/x
  3. Step 3: Cross multiply
    334,571.09x = 461,648.52 × 189,376.16
  4. Step 4: Simplify right side
    334,571.09x = 87,425,221,679.04
  5. Step 5: Solve for x
    x = 87,425,221,679.04/334,571.09
  6. Step 6: Final answer
    x = 261,305.37

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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.