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Finding the Fourth Proportional to 462,946.56, 638,654.40 and 271,956.48

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Solution

The fourth proportional to 462,946.56, 638,654.40 and 271,956.48 is: 375,175.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,946.56 : 638,654.40 = 271,956.48 : x
  2. Step 2: Convert to fraction form
    462,946.56/638,654.40 = 271,956.48/x
  3. Step 3: Cross multiply
    462,946.56x = 638,654.40 × 271,956.48
  4. Step 4: Simplify right side
    462,946.56x = 173,686,202,560.51
  5. Step 5: Solve for x
    x = 173,686,202,560.51/462,946.56
  6. Step 6: Final answer
    x = 375,175.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.