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Finding the Fourth Proportional to 631,844.50, 947,766.88 and 211,120.42

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Solution

The fourth proportional to 631,844.50, 947,766.88 and 211,120.42 is: 316,680.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,844.50 : 947,766.88 = 211,120.42 : x
  2. Step 2: Convert to fraction form
    631,844.50/947,766.88 = 211,120.42/x
  3. Step 3: Cross multiply
    631,844.50x = 947,766.88 × 211,120.42
  4. Step 4: Simplify right side
    631,844.50x = 200,092,941,767.69
  5. Step 5: Solve for x
    x = 200,092,941,767.69/631,844.50
  6. Step 6: Final answer
    x = 316,680.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.