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Finding the Fourth Proportional to 299,808.54, 413,741.28 and 163,848.24

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Solution

The fourth proportional to 299,808.54, 413,741.28 and 163,848.24 is: 226,113.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,808.54 : 413,741.28 = 163,848.24 : x
  2. Step 2: Convert to fraction form
    299,808.54/413,741.28 = 163,848.24/x
  3. Step 3: Cross multiply
    299,808.54x = 413,741.28 × 163,848.24
  4. Step 4: Simplify right side
    299,808.54x = 67,790,780,543.35
  5. Step 5: Solve for x
    x = 67,790,780,543.35/299,808.54
  6. Step 6: Final answer
    x = 226,113.57

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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.