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Finding the Fourth Proportional to 353,684.31, 530,531.97 and 196,909.23

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Solution

The fourth proportional to 353,684.31, 530,531.97 and 196,909.23 is: 295,366.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,684.31 : 530,531.97 = 196,909.23 : x
  2. Step 2: Convert to fraction form
    353,684.31/530,531.97 = 196,909.23/x
  3. Step 3: Cross multiply
    353,684.31x = 530,531.97 × 196,909.23
  4. Step 4: Simplify right side
    353,684.31x = 104,466,641,703.08
  5. Step 5: Solve for x
    x = 104,466,641,703.08/353,684.31
  6. Step 6: Final answer
    x = 295,366.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.