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Finding the Fourth Proportional to 365,264, 547,896.20 and 115,946

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Solution

The fourth proportional to 365,264, 547,896.20 and 115,946 is: 173,919.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,264 : 547,896.20 = 115,946 : x
  2. Step 2: Convert to fraction form
    365,264/547,896.20 = 115,946/x
  3. Step 3: Cross multiply
    365,264x = 547,896.20 × 115,946
  4. Step 4: Simplify right side
    365,264x = 63,526,372,805.20
  5. Step 5: Solve for x
    x = 63,526,372,805.20/365,264
  6. Step 6: Final answer
    x = 173,919.06

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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.