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Finding the Fourth Proportional to 464,998.50, 697,504.23 and 132,574.50

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Solution

The fourth proportional to 464,998.50, 697,504.23 and 132,574.50 is: 198,863.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,998.50 : 697,504.23 = 132,574.50 : x
  2. Step 2: Convert to fraction form
    464,998.50/697,504.23 = 132,574.50/x
  3. Step 3: Cross multiply
    464,998.50x = 697,504.23 × 132,574.50
  4. Step 4: Simplify right side
    464,998.50x = 92,471,274,540.14
  5. Step 5: Solve for x
    x = 92,471,274,540.14/464,998.50
  6. Step 6: Final answer
    x = 198,863.60

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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.