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Finding the Fourth Proportional to 382,270.48, 527,546.80 and 210,201.54

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Solution

The fourth proportional to 382,270.48, 527,546.80 and 210,201.54 is: 290,085.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,270.48 : 527,546.80 = 210,201.54 : x
  2. Step 2: Convert to fraction form
    382,270.48/527,546.80 = 210,201.54/x
  3. Step 3: Cross multiply
    382,270.48x = 527,546.80 × 210,201.54
  4. Step 4: Simplify right side
    382,270.48x = 110,891,149,782.07
  5. Step 5: Solve for x
    x = 110,891,149,782.07/382,270.48
  6. Step 6: Final answer
    x = 290,085.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.