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Finding the Fourth Proportional to 299,491.53, 413,295.14 and 163,525.05

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Solution

The fourth proportional to 299,491.53, 413,295.14 and 163,525.05 is: 225,662.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,491.53 : 413,295.14 = 163,525.05 : x
  2. Step 2: Convert to fraction form
    299,491.53/413,295.14 = 163,525.05/x
  3. Step 3: Cross multiply
    299,491.53x = 413,295.14 × 163,525.05
  4. Step 4: Simplify right side
    299,491.53x = 67,584,107,615.63
  5. Step 5: Solve for x
    x = 67,584,107,615.63/299,491.53
  6. Step 6: Final answer
    x = 225,662.83

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