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Finding the Fourth Proportional to 684,074, 944,022.12 and 382,268

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Solution

The fourth proportional to 684,074, 944,022.12 and 382,268 is: 527,529.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,074 : 944,022.12 = 382,268 : x
  2. Step 2: Convert to fraction form
    684,074/944,022.12 = 382,268/x
  3. Step 3: Cross multiply
    684,074x = 944,022.12 × 382,268
  4. Step 4: Simplify right side
    684,074x = 360,869,447,768.16
  5. Step 5: Solve for x
    x = 360,869,447,768.16/684,074
  6. Step 6: Final answer
    x = 527,529.84

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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.