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Finding the Fourth Proportional to 418,211.92, 577,144.20 and 246,142

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Solution

The fourth proportional to 418,211.92, 577,144.20 and 246,142 is: 339,682.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,211.92 : 577,144.20 = 246,142 : x
  2. Step 2: Convert to fraction form
    418,211.92/577,144.20 = 246,142/x
  3. Step 3: Cross multiply
    418,211.92x = 577,144.20 × 246,142
  4. Step 4: Simplify right side
    418,211.92x = 142,059,427,676.40
  5. Step 5: Solve for x
    x = 142,059,427,676.40/418,211.92
  6. Step 6: Final answer
    x = 339,682.88

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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.