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Finding the Fourth Proportional to 519,338, 716,686.44 and 280,874

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Solution

The fourth proportional to 519,338, 716,686.44 and 280,874 is: 387,606.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,338 : 716,686.44 = 280,874 : x
  2. Step 2: Convert to fraction form
    519,338/716,686.44 = 280,874/x
  3. Step 3: Cross multiply
    519,338x = 716,686.44 × 280,874
  4. Step 4: Simplify right side
    519,338x = 201,298,587,148.56
  5. Step 5: Solve for x
    x = 201,298,587,148.56/519,338
  6. Step 6: Final answer
    x = 387,606.12

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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.