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Finding the Fourth Proportional to 299,511.99, 413,343.38 and 163,558.58

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Solution

The fourth proportional to 299,511.99, 413,343.38 and 163,558.58 is: 225,720.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,511.99 : 413,343.38 = 163,558.58 : x
  2. Step 2: Convert to fraction form
    299,511.99/413,343.38 = 163,558.58/x
  3. Step 3: Cross multiply
    299,511.99x = 413,343.38 × 163,558.58
  4. Step 4: Simplify right side
    299,511.99x = 67,605,854,627.38
  5. Step 5: Solve for x
    x = 67,605,854,627.38/299,511.99
  6. Step 6: Final answer
    x = 225,720.03

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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.