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Finding the Fourth Proportional to 462,696.63, 694,147 and 196,684.53

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Solution

The fourth proportional to 462,696.63, 694,147 and 196,684.53 is: 295,070.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,696.63 : 694,147 = 196,684.53 : x
  2. Step 2: Convert to fraction form
    462,696.63/694,147 = 196,684.53/x
  3. Step 3: Cross multiply
    462,696.63x = 694,147 × 196,684.53
  4. Step 4: Simplify right side
    462,696.63x = 136,527,976,445.91
  5. Step 5: Solve for x
    x = 136,527,976,445.91/462,696.63
  6. Step 6: Final answer
    x = 295,070.18

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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.