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Finding the Fourth Proportional to 434,861.56, 652,515 and 198,173.80

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Solution

The fourth proportional to 434,861.56, 652,515 and 198,173.80 is: 297,362.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,861.56 : 652,515 = 198,173.80 : x
  2. Step 2: Convert to fraction form
    434,861.56/652,515 = 198,173.80/x
  3. Step 3: Cross multiply
    434,861.56x = 652,515 × 198,173.80
  4. Step 4: Simplify right side
    434,861.56x = 129,311,377,107
  5. Step 5: Solve for x
    x = 129,311,377,107/434,861.56
  6. Step 6: Final answer
    x = 297,362.17

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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.