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Finding the Fourth Proportional to 434,494.44, 599,398.92 and 271,017

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Solution

The fourth proportional to 434,494.44, 599,398.92 and 271,017 is: 373,876.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,494.44 : 599,398.92 = 271,017 : x
  2. Step 2: Convert to fraction form
    434,494.44/599,398.92 = 271,017/x
  3. Step 3: Cross multiply
    434,494.44x = 599,398.92 × 271,017
  4. Step 4: Simplify right side
    434,494.44x = 162,447,297,101.64
  5. Step 5: Solve for x
    x = 162,447,297,101.64/434,494.44
  6. Step 6: Final answer
    x = 373,876.58

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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.