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Finding the Fourth Proportional to 411,416.47, 616,902.81 and 186,654.27

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Solution

The fourth proportional to 411,416.47, 616,902.81 and 186,654.27 is: 279,880.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,416.47 : 616,902.81 = 186,654.27 : x
  2. Step 2: Convert to fraction form
    411,416.47/616,902.81 = 186,654.27/x
  3. Step 3: Cross multiply
    411,416.47x = 616,902.81 × 186,654.27
  4. Step 4: Simplify right side
    411,416.47x = 115,147,541,804.85
  5. Step 5: Solve for x
    x = 115,147,541,804.85/411,416.47
  6. Step 6: Final answer
    x = 279,880.73

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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.