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Finding the Fourth Proportional to 412,015.08, 568,516.95 and 230,734.68

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Solution

The fourth proportional to 412,015.08, 568,516.95 and 230,734.68 is: 318,378.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,015.08 : 568,516.95 = 230,734.68 : x
  2. Step 2: Convert to fraction form
    412,015.08/568,516.95 = 230,734.68/x
  3. Step 3: Cross multiply
    412,015.08x = 568,516.95 × 230,734.68
  4. Step 4: Simplify right side
    412,015.08x = 131,176,576,532.83
  5. Step 5: Solve for x
    x = 131,176,576,532.83/412,015.08
  6. Step 6: Final answer
    x = 318,378.10

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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.