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Finding the Fourth Proportional to 262,410.84, 362,065.14 and 194,584.68

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Solution

The fourth proportional to 262,410.84, 362,065.14 and 194,584.68 is: 268,481.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,410.84 : 362,065.14 = 194,584.68 : x
  2. Step 2: Convert to fraction form
    262,410.84/362,065.14 = 194,584.68/x
  3. Step 3: Cross multiply
    262,410.84x = 362,065.14 × 194,584.68
  4. Step 4: Simplify right side
    262,410.84x = 70,452,329,406.06
  5. Step 5: Solve for x
    x = 70,452,329,406.06/262,410.84
  6. Step 6: Final answer
    x = 268,481.02

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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.