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Finding the Fourth Proportional to 307,638.20, 461,457.30 and 228,906.20

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Solution

The fourth proportional to 307,638.20, 461,457.30 and 228,906.20 is: 343,359.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,638.20 : 461,457.30 = 228,906.20 : x
  2. Step 2: Convert to fraction form
    307,638.20/461,457.30 = 228,906.20/x
  3. Step 3: Cross multiply
    307,638.20x = 461,457.30 × 228,906.20
  4. Step 4: Simplify right side
    307,638.20x = 105,630,437,005.26
  5. Step 5: Solve for x
    x = 105,630,437,005.26/307,638.20
  6. Step 6: Final answer
    x = 343,359.30

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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.