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Finding the Fourth Proportional to 465,696.07, 697,959.72 and 199,143.16

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Solution

The fourth proportional to 465,696.07, 697,959.72 and 199,143.16 is: 298,464.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,696.07 : 697,959.72 = 199,143.16 : x
  2. Step 2: Convert to fraction form
    465,696.07/697,959.72 = 199,143.16/x
  3. Step 3: Cross multiply
    465,696.07x = 697,959.72 × 199,143.16
  4. Step 4: Simplify right side
    465,696.07x = 138,993,902,448.62
  5. Step 5: Solve for x
    x = 138,993,902,448.62/465,696.07
  6. Step 6: Final answer
    x = 298,464.84

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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.