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Finding the Fourth Proportional to 412,242.14, 617,313.42 and 271,574.30

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Solution

The fourth proportional to 412,242.14, 617,313.42 and 271,574.30 is: 406,669.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,242.14 : 617,313.42 = 271,574.30 : x
  2. Step 2: Convert to fraction form
    412,242.14/617,313.42 = 271,574.30/x
  3. Step 3: Cross multiply
    412,242.14x = 617,313.42 × 271,574.30
  4. Step 4: Simplify right side
    412,242.14x = 167,646,459,917.11
  5. Step 5: Solve for x
    x = 167,646,459,917.11/412,242.14
  6. Step 6: Final answer
    x = 406,669.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.