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Finding the Fourth Proportional to 307,562.70, 461,344.05 and 274,320.30

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Solution

The fourth proportional to 307,562.70, 461,344.05 and 274,320.30 is: 411,480.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,562.70 : 461,344.05 = 274,320.30 : x
  2. Step 2: Convert to fraction form
    307,562.70/461,344.05 = 274,320.30/x
  3. Step 3: Cross multiply
    307,562.70x = 461,344.05 × 274,320.30
  4. Step 4: Simplify right side
    307,562.70x = 126,556,038,199.22
  5. Step 5: Solve for x
    x = 126,556,038,199.22/307,562.70
  6. Step 6: Final answer
    x = 411,480.45

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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.