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Finding the Fourth Proportional to 403,812.30, 605,200.05 and 309,852.30

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Solution

The fourth proportional to 403,812.30, 605,200.05 and 309,852.30 is: 464,380.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,812.30 : 605,200.05 = 309,852.30 : x
  2. Step 2: Convert to fraction form
    403,812.30/605,200.05 = 309,852.30/x
  3. Step 3: Cross multiply
    403,812.30x = 605,200.05 × 309,852.30
  4. Step 4: Simplify right side
    403,812.30x = 187,522,627,452.62
  5. Step 5: Solve for x
    x = 187,522,627,452.62/403,812.30
  6. Step 6: Final answer
    x = 464,380.67

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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.