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Finding the Fourth Proportional to 335,485.38, 463,249.18 and 311,144.58

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Solution

The fourth proportional to 335,485.38, 463,249.18 and 311,144.58 is: 429,638.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,485.38 : 463,249.18 = 311,144.58 : x
  2. Step 2: Convert to fraction form
    335,485.38/463,249.18 = 311,144.58/x
  3. Step 3: Cross multiply
    335,485.38x = 463,249.18 × 311,144.58
  4. Step 4: Simplify right side
    335,485.38x = 144,137,474,434.20
  5. Step 5: Solve for x
    x = 144,137,474,434.20/335,485.38
  6. Step 6: Final answer
    x = 429,638.61

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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.