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Finding the Fourth Proportional to 293,015.36, 404,369.16 and 165,710

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Solution

The fourth proportional to 293,015.36, 404,369.16 and 165,710 is: 228,684.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,015.36 : 404,369.16 = 165,710 : x
  2. Step 2: Convert to fraction form
    293,015.36/404,369.16 = 165,710/x
  3. Step 3: Cross multiply
    293,015.36x = 404,369.16 × 165,710
  4. Step 4: Simplify right side
    293,015.36x = 67,008,013,503.60
  5. Step 5: Solve for x
    x = 67,008,013,503.60/293,015.36
  6. Step 6: Final answer
    x = 228,684.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.