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Finding the Fourth Proportional to 260,568.98, 359,093.75 and 208,827.30

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Solution

The fourth proportional to 260,568.98, 359,093.75 and 208,827.30 is: 287,787.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,568.98 : 359,093.75 = 208,827.30 : x
  2. Step 2: Convert to fraction form
    260,568.98/359,093.75 = 208,827.30/x
  3. Step 3: Cross multiply
    260,568.98x = 359,093.75 × 208,827.30
  4. Step 4: Simplify right side
    260,568.98x = 74,988,577,215.24
  5. Step 5: Solve for x
    x = 74,988,577,215.24/260,568.98
  6. Step 6: Final answer
    x = 287,787.82

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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.