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Finding the Fourth Proportional to 358,628.04, 494,758.38 and 213,405

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Solution

The fourth proportional to 358,628.04, 494,758.38 and 213,405 is: 294,410.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,628.04 : 494,758.38 = 213,405 : x
  2. Step 2: Convert to fraction form
    358,628.04/494,758.38 = 213,405/x
  3. Step 3: Cross multiply
    358,628.04x = 494,758.38 × 213,405
  4. Step 4: Simplify right side
    358,628.04x = 105,583,912,083.90
  5. Step 5: Solve for x
    x = 105,583,912,083.90/358,628.04
  6. Step 6: Final answer
    x = 294,410.64

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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.