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Finding the Fourth Proportional to 294,511.48, 406,401.89 and 165,442.94

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Solution

The fourth proportional to 294,511.48, 406,401.89 and 165,442.94 is: 228,297.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,511.48 : 406,401.89 = 165,442.94 : x
  2. Step 2: Convert to fraction form
    294,511.48/406,401.89 = 165,442.94/x
  3. Step 3: Cross multiply
    294,511.48x = 406,401.89 × 165,442.94
  4. Step 4: Simplify right side
    294,511.48x = 67,236,325,511.03
  5. Step 5: Solve for x
    x = 67,236,325,511.03/294,511.48
  6. Step 6: Final answer
    x = 228,297.81

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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.