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Finding the Fourth Proportional to 411,389.30, 617,161.21 and 186,765.57

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Solution

The fourth proportional to 411,389.30, 617,161.21 and 186,765.57 is: 280,183.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,389.30 : 617,161.21 = 186,765.57 : x
  2. Step 2: Convert to fraction form
    411,389.30/617,161.21 = 186,765.57/x
  3. Step 3: Cross multiply
    411,389.30x = 617,161.21 × 186,765.57
  4. Step 4: Simplify right side
    411,389.30x = 115,264,464,700.63
  5. Step 5: Solve for x
    x = 115,264,464,700.63/411,389.30
  6. Step 6: Final answer
    x = 280,183.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.