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Finding the Fourth Proportional to 412,732.94, 569,318.64 and 273,029.82

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Solution

The fourth proportional to 412,732.94, 569,318.64 and 273,029.82 is: 376,613.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,732.94 : 569,318.64 = 273,029.82 : x
  2. Step 2: Convert to fraction form
    412,732.94/569,318.64 = 273,029.82/x
  3. Step 3: Cross multiply
    412,732.94x = 569,318.64 × 273,029.82
  4. Step 4: Simplify right side
    412,732.94x = 155,440,965,801.85
  5. Step 5: Solve for x
    x = 155,440,965,801.85/412,732.94
  6. Step 6: Final answer
    x = 376,613.91

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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.