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Finding the Fourth Proportional to 275,728.80, 385,233 and 275,728.80

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Solution

The fourth proportional to 275,728.80, 385,233 and 275,728.80 is: 385,233

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,728.80 : 385,233 = 275,728.80 : x
  2. Step 2: Convert to fraction form
    275,728.80/385,233 = 275,728.80/x
  3. Step 3: Cross multiply
    275,728.80x = 385,233 × 275,728.80
  4. Step 4: Simplify right side
    275,728.80x = 106,219,832,810.40
  5. Step 5: Solve for x
    x = 106,219,832,810.40/275,728.80
  6. Step 6: Final answer
    x = 385,233

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.