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Finding the Fourth Proportional to 613,516.10, 846,650.23 and 341,576.93

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Solution

The fourth proportional to 613,516.10, 846,650.23 and 341,576.93 is: 471,375.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,516.10 : 846,650.23 = 341,576.93 : x
  2. Step 2: Convert to fraction form
    613,516.10/846,650.23 = 341,576.93/x
  3. Step 3: Cross multiply
    613,516.10x = 846,650.23 × 341,576.93
  4. Step 4: Simplify right side
    613,516.10x = 289,196,187,609.88
  5. Step 5: Solve for x
    x = 289,196,187,609.88/613,516.10
  6. Step 6: Final answer
    x = 471,375.06

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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.