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Finding the Fourth Proportional to 271,288, 374,377.44 and 165,304

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Solution

The fourth proportional to 271,288, 374,377.44 and 165,304 is: 228,119.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,288 : 374,377.44 = 165,304 : x
  2. Step 2: Convert to fraction form
    271,288/374,377.44 = 165,304/x
  3. Step 3: Cross multiply
    271,288x = 374,377.44 × 165,304
  4. Step 4: Simplify right side
    271,288x = 61,886,088,341.76
  5. Step 5: Solve for x
    x = 61,886,088,341.76/271,288
  6. Step 6: Final answer
    x = 228,119.52

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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.