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Finding the Fourth Proportional to 321,114.68, 442,718.16 and 276,274.33

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Solution

The fourth proportional to 321,114.68, 442,718.16 and 276,274.33 is: 380,897.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,114.68 : 442,718.16 = 276,274.33 : x
  2. Step 2: Convert to fraction form
    321,114.68/442,718.16 = 276,274.33/x
  3. Step 3: Cross multiply
    321,114.68x = 442,718.16 × 276,274.33
  4. Step 4: Simplify right side
    321,114.68x = 122,311,660,890.01
  5. Step 5: Solve for x
    x = 122,311,660,890.01/321,114.68
  6. Step 6: Final answer
    x = 380,897.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.