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Finding the Fourth Proportional to 299,466.84, 413,266.14 and 165,330.84

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Solution

The fourth proportional to 299,466.84, 413,266.14 and 165,330.84 is: 228,157.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,466.84 : 413,266.14 = 165,330.84 : x
  2. Step 2: Convert to fraction form
    299,466.84/413,266.14 = 165,330.84/x
  3. Step 3: Cross multiply
    299,466.84x = 413,266.14 × 165,330.84
  4. Step 4: Simplify right side
    299,466.84x = 68,325,638,069.76
  5. Step 5: Solve for x
    x = 68,325,638,069.76/299,466.84
  6. Step 6: Final answer
    x = 228,157.61

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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.