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Finding the Fourth Proportional to 411,654.94, 616,844.73 and 285,540.37

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Solution

The fourth proportional to 411,654.94, 616,844.73 and 285,540.37 is: 427,868.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,654.94 : 616,844.73 = 285,540.37 : x
  2. Step 2: Convert to fraction form
    411,654.94/616,844.73 = 285,540.37/x
  3. Step 3: Cross multiply
    411,654.94x = 616,844.73 × 285,540.37
  4. Step 4: Simplify right side
    411,654.94x = 176,134,071,965.42
  5. Step 5: Solve for x
    x = 176,134,071,965.42/411,654.94
  6. Step 6: Final answer
    x = 427,868.24

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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.