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Finding the Fourth Proportional to 293,665.90, 411,961.70 and 293,665.90

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Solution

The fourth proportional to 293,665.90, 411,961.70 and 293,665.90 is: 411,961.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,665.90 : 411,961.70 = 293,665.90 : x
  2. Step 2: Convert to fraction form
    293,665.90/411,961.70 = 293,665.90/x
  3. Step 3: Cross multiply
    293,665.90x = 411,961.70 × 293,665.90
  4. Step 4: Simplify right side
    293,665.90x = 120,979,103,396.03
  5. Step 5: Solve for x
    x = 120,979,103,396.03/293,665.90
  6. Step 6: Final answer
    x = 411,961.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.