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Finding the Fourth Proportional to 402,198.96, 603,376.20 and 152,861.52

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Solution

The fourth proportional to 402,198.96, 603,376.20 and 152,861.52 is: 229,321.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,198.96 : 603,376.20 = 152,861.52 : x
  2. Step 2: Convert to fraction form
    402,198.96/603,376.20 = 152,861.52/x
  3. Step 3: Cross multiply
    402,198.96x = 603,376.20 × 152,861.52
  4. Step 4: Simplify right side
    402,198.96x = 92,233,003,063.82
  5. Step 5: Solve for x
    x = 92,233,003,063.82/402,198.96
  6. Step 6: Final answer
    x = 229,321.83

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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.