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Finding the Fourth Proportional to 370,800, 511,773.12 and 211,824

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Solution

The fourth proportional to 370,800, 511,773.12 and 211,824 is: 292,356.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,800 : 511,773.12 = 211,824 : x
  2. Step 2: Convert to fraction form
    370,800/511,773.12 = 211,824/x
  3. Step 3: Cross multiply
    370,800x = 511,773.12 × 211,824
  4. Step 4: Simplify right side
    370,800x = 108,405,829,370.88
  5. Step 5: Solve for x
    x = 108,405,829,370.88/370,800
  6. Step 6: Final answer
    x = 292,356.61

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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.