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Finding the Fourth Proportional to 299,741.64, 413,631.19 and 163,780.23

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Solution

The fourth proportional to 299,741.64, 413,631.19 and 163,780.23 is: 226,010.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,741.64 : 413,631.19 = 163,780.23 : x
  2. Step 2: Convert to fraction form
    299,741.64/413,631.19 = 163,780.23/x
  3. Step 3: Cross multiply
    299,741.64x = 413,631.19 × 163,780.23
  4. Step 4: Simplify right side
    299,741.64x = 67,744,611,433.37
  5. Step 5: Solve for x
    x = 67,744,611,433.37/299,741.64
  6. Step 6: Final answer
    x = 226,010.01

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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.