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Finding the Fourth Proportional to 334,758, 461,853.66 and 189,543.96

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Solution

The fourth proportional to 334,758, 461,853.66 and 189,543.96 is: 261,507.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,758 : 461,853.66 = 189,543.96 : x
  2. Step 2: Convert to fraction form
    334,758/461,853.66 = 189,543.96/x
  3. Step 3: Cross multiply
    334,758x = 461,853.66 × 189,543.96
  4. Step 4: Simplify right side
    334,758x = 87,541,571,656.89
  5. Step 5: Solve for x
    x = 87,541,571,656.89/334,758
  6. Step 6: Final answer
    x = 261,507.03

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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.