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Finding the Fourth Proportional to 299,305.45, 413,050.20 and 163,348.12

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Solution

The fourth proportional to 299,305.45, 413,050.20 and 163,348.12 is: 225,425.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,305.45 : 413,050.20 = 163,348.12 : x
  2. Step 2: Convert to fraction form
    299,305.45/413,050.20 = 163,348.12/x
  3. Step 3: Cross multiply
    299,305.45x = 413,050.20 × 163,348.12
  4. Step 4: Simplify right side
    299,305.45x = 67,470,971,570.37
  5. Step 5: Solve for x
    x = 67,470,971,570.37/299,305.45
  6. Step 6: Final answer
    x = 225,425.14

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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.