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Finding the Fourth Proportional to 271,694, 374,938.44 and 152,462

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Solution

The fourth proportional to 271,694, 374,938.44 and 152,462 is: 210,397.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,694 : 374,938.44 = 152,462 : x
  2. Step 2: Convert to fraction form
    271,694/374,938.44 = 152,462/x
  3. Step 3: Cross multiply
    271,694x = 374,938.44 × 152,462
  4. Step 4: Simplify right side
    271,694x = 57,163,864,439.28
  5. Step 5: Solve for x
    x = 57,163,864,439.28/271,694
  6. Step 6: Final answer
    x = 210,397.96

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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.