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Finding the Fourth Proportional to 411,422.36, 616,911.62 and 186,660.14

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Solution

The fourth proportional to 411,422.36, 616,911.62 and 186,660.14 is: 279,889.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,422.36 : 616,911.62 = 186,660.14 : x
  2. Step 2: Convert to fraction form
    411,422.36/616,911.62 = 186,660.14/x
  3. Step 3: Cross multiply
    411,422.36x = 616,911.62 × 186,660.14
  4. Step 4: Simplify right side
    411,422.36x = 115,152,809,356.83
  5. Step 5: Solve for x
    x = 115,152,809,356.83/411,422.36
  6. Step 6: Final answer
    x = 279,889.53

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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.