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Finding the Fourth Proportional to 411,356.14, 617,111.42 and 186,732.32

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Solution

The fourth proportional to 411,356.14, 617,111.42 and 186,732.32 is: 280,133.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,356.14 : 617,111.42 = 186,732.32 : x
  2. Step 2: Convert to fraction form
    411,356.14/617,111.42 = 186,732.32/x
  3. Step 3: Cross multiply
    411,356.14x = 617,111.42 × 186,732.32
  4. Step 4: Simplify right side
    411,356.14x = 115,234,647,155.09
  5. Step 5: Solve for x
    x = 115,234,647,155.09/411,356.14
  6. Step 6: Final answer
    x = 280,133.53

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Why These Related Problems?

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