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Finding the Fourth Proportional to 463,204.93, 638,715.19 and 301,760.59

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Solution

The fourth proportional to 463,204.93, 638,715.19 and 301,760.59 is: 416,098.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,204.93 : 638,715.19 = 301,760.59 : x
  2. Step 2: Convert to fraction form
    463,204.93/638,715.19 = 301,760.59/x
  3. Step 3: Cross multiply
    463,204.93x = 638,715.19 × 301,760.59
  4. Step 4: Simplify right side
    463,204.93x = 192,739,072,576.36
  5. Step 5: Solve for x
    x = 192,739,072,576.36/463,204.93
  6. Step 6: Final answer
    x = 416,098.92

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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.