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Finding the Fourth Proportional to 382,201.44, 527,448.27 and 210,126.66

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Solution

The fourth proportional to 382,201.44, 527,448.27 and 210,126.66 is: 289,980.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,201.44 : 527,448.27 = 210,126.66 : x
  2. Step 2: Convert to fraction form
    382,201.44/527,448.27 = 210,126.66/x
  3. Step 3: Cross multiply
    382,201.44x = 527,448.27 × 210,126.66
  4. Step 4: Simplify right side
    382,201.44x = 110,830,944,389.62
  5. Step 5: Solve for x
    x = 110,830,944,389.62/382,201.44
  6. Step 6: Final answer
    x = 289,980.44

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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.