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Finding the Fourth Proportional to 274,494.38, 411,774.78 and 96,965.06

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Solution

The fourth proportional to 274,494.38, 411,774.78 and 96,965.06 is: 145,459.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,494.38 : 411,774.78 = 96,965.06 : x
  2. Step 2: Convert to fraction form
    274,494.38/411,774.78 = 96,965.06/x
  3. Step 3: Cross multiply
    274,494.38x = 411,774.78 × 96,965.06
  4. Step 4: Simplify right side
    274,494.38x = 39,927,766,249.19
  5. Step 5: Solve for x
    x = 39,927,766,249.19/274,494.38
  6. Step 6: Final answer
    x = 145,459.32

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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.