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Finding the Fourth Proportional to 334,580.52, 461,660.94 and 189,385.32

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Solution

The fourth proportional to 334,580.52, 461,660.94 and 189,385.32 is: 261,317.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,580.52 : 461,660.94 = 189,385.32 : x
  2. Step 2: Convert to fraction form
    334,580.52/461,660.94 = 189,385.32/x
  3. Step 3: Cross multiply
    334,580.52x = 461,660.94 × 189,385.32
  4. Step 4: Simplify right side
    334,580.52x = 87,431,804,853.40
  5. Step 5: Solve for x
    x = 87,431,804,853.40/334,580.52
  6. Step 6: Final answer
    x = 261,317.68

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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.