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Finding the Fourth Proportional to 412,904.75, 568,102.13 and 334,683.27

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Solution

The fourth proportional to 412,904.75, 568,102.13 and 334,683.27 is: 460,479.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,904.75 : 568,102.13 = 334,683.27 : x
  2. Step 2: Convert to fraction form
    412,904.75/568,102.13 = 334,683.27/x
  3. Step 3: Cross multiply
    412,904.75x = 568,102.13 × 334,683.27
  4. Step 4: Simplify right side
    412,904.75x = 190,134,278,964.62
  5. Step 5: Solve for x
    x = 190,134,278,964.62/412,904.75
  6. Step 6: Final answer
    x = 460,479.76

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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.