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Finding the Fourth Proportional to 449,817.99, 674,716.23 and 146,211.78

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Solution

The fourth proportional to 449,817.99, 674,716.23 and 146,211.78 is: 219,314.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,817.99 : 674,716.23 = 146,211.78 : x
  2. Step 2: Convert to fraction form
    449,817.99/674,716.23 = 146,211.78/x
  3. Step 3: Cross multiply
    449,817.99x = 674,716.23 × 146,211.78
  4. Step 4: Simplify right side
    449,817.99x = 98,651,460,983.19
  5. Step 5: Solve for x
    x = 98,651,460,983.19/449,817.99
  6. Step 6: Final answer
    x = 219,314.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.