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Finding the Fourth Proportional to 697,692.50, 1,046,694.75 and 254,460.50

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Solution

The fourth proportional to 697,692.50, 1,046,694.75 and 254,460.50 is: 381,747.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,692.50 : 1,046,694.75 = 254,460.50 : x
  2. Step 2: Convert to fraction form
    697,692.50/1,046,694.75 = 254,460.50/x
  3. Step 3: Cross multiply
    697,692.50x = 1,046,694.75 × 254,460.50
  4. Step 4: Simplify right side
    697,692.50x = 266,342,469,432.38
  5. Step 5: Solve for x
    x = 266,342,469,432.38/697,692.50
  6. Step 6: Final answer
    x = 381,747.65

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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.