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Finding the Fourth Proportional to 312,211.65, 466,058.37 and 274,378.61

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Solution

The fourth proportional to 312,211.65, 466,058.37 and 274,378.61 is: 409,582.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,211.65 : 466,058.37 = 274,378.61 : x
  2. Step 2: Convert to fraction form
    312,211.65/466,058.37 = 274,378.61/x
  3. Step 3: Cross multiply
    312,211.65x = 466,058.37 × 274,378.61
  4. Step 4: Simplify right side
    312,211.65x = 127,876,448,390.15
  5. Step 5: Solve for x
    x = 127,876,448,390.15/312,211.65
  6. Step 6: Final answer
    x = 409,582.56

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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.