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Finding the Fourth Proportional to 381,835.50, 526,932.99 and 212,085.42

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Solution

The fourth proportional to 381,835.50, 526,932.99 and 212,085.42 is: 292,677.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,835.50 : 526,932.99 = 212,085.42 : x
  2. Step 2: Convert to fraction form
    381,835.50/526,932.99 = 212,085.42/x
  3. Step 3: Cross multiply
    381,835.50x = 526,932.99 × 212,085.42
  4. Step 4: Simplify right side
    381,835.50x = 111,754,804,496.01
  5. Step 5: Solve for x
    x = 111,754,804,496.01/381,835.50
  6. Step 6: Final answer
    x = 292,677.88

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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.