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Finding the Fourth Proportional to 299,498.46, 413,308.77 and 163,533.60

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Solution

The fourth proportional to 299,498.46, 413,308.77 and 163,533.60 is: 225,676.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,498.46 : 413,308.77 = 163,533.60 : x
  2. Step 2: Convert to fraction form
    299,498.46/413,308.77 = 163,533.60/x
  3. Step 3: Cross multiply
    299,498.46x = 413,308.77 × 163,533.60
  4. Step 4: Simplify right side
    299,498.46x = 67,589,871,069.67
  5. Step 5: Solve for x
    x = 67,589,871,069.67/299,498.46
  6. Step 6: Final answer
    x = 225,676.86

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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.