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Finding the Fourth Proportional to 381,815.25, 526,905.05 and 212,065.17

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Solution

The fourth proportional to 381,815.25, 526,905.05 and 212,065.17 is: 292,649.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,815.25 : 526,905.05 = 212,065.17 : x
  2. Step 2: Convert to fraction form
    381,815.25/526,905.05 = 212,065.17/x
  3. Step 3: Cross multiply
    381,815.25x = 526,905.05 × 212,065.17
  4. Step 4: Simplify right side
    381,815.25x = 111,738,209,002.11
  5. Step 5: Solve for x
    x = 111,738,209,002.11/381,815.25
  6. Step 6: Final answer
    x = 292,649.94

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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.