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Finding the Fourth Proportional to 631,766.79, 947,303.15 and 311,213.34

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Solution

The fourth proportional to 631,766.79, 947,303.15 and 311,213.34 is: 466,649.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,766.79 : 947,303.15 = 311,213.34 : x
  2. Step 2: Convert to fraction form
    631,766.79/947,303.15 = 311,213.34/x
  3. Step 3: Cross multiply
    631,766.79x = 947,303.15 × 311,213.34
  4. Step 4: Simplify right side
    631,766.79x = 294,813,375,747.95
  5. Step 5: Solve for x
    x = 294,813,375,747.95/631,766.79
  6. Step 6: Final answer
    x = 466,649.06

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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.