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Finding the Fourth Proportional to 465,694.30, 697,957.11 and 199,141.38

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Solution

The fourth proportional to 465,694.30, 697,957.11 and 199,141.38 is: 298,462.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,694.30 : 697,957.11 = 199,141.38 : x
  2. Step 2: Convert to fraction form
    465,694.30/697,957.11 = 199,141.38/x
  3. Step 3: Cross multiply
    465,694.30x = 697,957.11 × 199,141.38
  4. Step 4: Simplify right side
    465,694.30x = 138,992,142,066.21
  5. Step 5: Solve for x
    x = 138,992,142,066.21/465,694.30
  6. Step 6: Final answer
    x = 298,462.19

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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.