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Finding the Fourth Proportional to 381,745.80, 526,806.18 and 211,980.36

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Solution

The fourth proportional to 381,745.80, 526,806.18 and 211,980.36 is: 292,531.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,745.80 : 526,806.18 = 211,980.36 : x
  2. Step 2: Convert to fraction form
    381,745.80/526,806.18 = 211,980.36/x
  3. Step 3: Cross multiply
    381,745.80x = 526,806.18 × 211,980.36
  4. Step 4: Simplify right side
    381,745.80x = 111,672,563,686.63
  5. Step 5: Solve for x
    x = 111,672,563,686.63/381,745.80
  6. Step 6: Final answer
    x = 292,531.22

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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.