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Finding the Fourth Proportional to 274,798.30, 412,246.05 and 97,408.30

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Solution

The fourth proportional to 274,798.30, 412,246.05 and 97,408.30 is: 146,129.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,798.30 : 412,246.05 = 97,408.30 : x
  2. Step 2: Convert to fraction form
    274,798.30/412,246.05 = 97,408.30/x
  3. Step 3: Cross multiply
    274,798.30x = 412,246.05 × 97,408.30
  4. Step 4: Simplify right side
    274,798.30x = 40,156,186,912.22
  5. Step 5: Solve for x
    x = 40,156,186,912.22/274,798.30
  6. Step 6: Final answer
    x = 146,129.68

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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.