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Finding the Fourth Proportional to 434,181.96, 599,463.50 and 271,086.77

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Solution

The fourth proportional to 434,181.96, 599,463.50 and 271,086.77 is: 374,282.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,181.96 : 599,463.50 = 271,086.77 : x
  2. Step 2: Convert to fraction form
    434,181.96/599,463.50 = 271,086.77/x
  3. Step 3: Cross multiply
    434,181.96x = 599,463.50 × 271,086.77
  4. Step 4: Simplify right side
    434,181.96x = 162,506,624,091.12
  5. Step 5: Solve for x
    x = 162,506,624,091.12/434,181.96
  6. Step 6: Final answer
    x = 374,282.30

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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.