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Finding the Fourth Proportional to 312,596.64, 468,696.12 and 265,227.84

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Solution

The fourth proportional to 312,596.64, 468,696.12 and 265,227.84 is: 397,673.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,596.64 : 468,696.12 = 265,227.84 : x
  2. Step 2: Convert to fraction form
    312,596.64/468,696.12 = 265,227.84/x
  3. Step 3: Cross multiply
    312,596.64x = 468,696.12 × 265,227.84
  4. Step 4: Simplify right side
    312,596.64x = 124,311,259,523.98
  5. Step 5: Solve for x
    x = 124,311,259,523.98/312,596.64
  6. Step 6: Final answer
    x = 397,673.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.