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Finding the Fourth Proportional to 312,212.65, 466,059.86 and 274,379.61

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Solution

The fourth proportional to 312,212.65, 466,059.86 and 274,379.61 is: 409,584.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,212.65 : 466,059.86 = 274,379.61 : x
  2. Step 2: Convert to fraction form
    312,212.65/466,059.86 = 274,379.61/x
  3. Step 3: Cross multiply
    312,212.65x = 466,059.86 × 274,379.61
  4. Step 4: Simplify right side
    312,212.65x = 127,877,322,623.46
  5. Step 5: Solve for x
    x = 127,877,322,623.46/312,212.65
  6. Step 6: Final answer
    x = 409,584.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.