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Finding the Fourth Proportional to 405,869.67, 560,100.80 and 224,589.24

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Solution

The fourth proportional to 405,869.67, 560,100.80 and 224,589.24 is: 309,933.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,869.67 : 560,100.80 = 224,589.24 : x
  2. Step 2: Convert to fraction form
    405,869.67/560,100.80 = 224,589.24/x
  3. Step 3: Cross multiply
    405,869.67x = 560,100.80 × 224,589.24
  4. Step 4: Simplify right side
    405,869.67x = 125,792,611,872.45
  5. Step 5: Solve for x
    x = 125,792,611,872.45/405,869.67
  6. Step 6: Final answer
    x = 309,933.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.