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Finding the Fourth Proportional to 302,480.94, 417,381.19 and 200,348.04

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Solution

The fourth proportional to 302,480.94, 417,381.19 and 200,348.04 is: 276,452.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,480.94 : 417,381.19 = 200,348.04 : x
  2. Step 2: Convert to fraction form
    302,480.94/417,381.19 = 200,348.04/x
  3. Step 3: Cross multiply
    302,480.94x = 417,381.19 × 200,348.04
  4. Step 4: Simplify right side
    302,480.94x = 83,621,503,349.37
  5. Step 5: Solve for x
    x = 83,621,503,349.37/302,480.94
  6. Step 6: Final answer
    x = 276,452.14

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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.