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Finding the Fourth Proportional to 274,500.08, 411,692.52 and 77,462

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Solution

The fourth proportional to 274,500.08, 411,692.52 and 77,462 is: 116,176.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,500.08 : 411,692.52 = 77,462 : x
  2. Step 2: Convert to fraction form
    274,500.08/411,692.52 = 77,462/x
  3. Step 3: Cross multiply
    274,500.08x = 411,692.52 × 77,462
  4. Step 4: Simplify right side
    274,500.08x = 31,890,525,984.24
  5. Step 5: Solve for x
    x = 31,890,525,984.24/274,500.08
  6. Step 6: Final answer
    x = 116,176.75

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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.