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Finding the Fourth Proportional to 510,606, 766,258.92 and 178,182

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Solution

The fourth proportional to 510,606, 766,258.92 and 178,182 is: 267,395.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,606 : 766,258.92 = 178,182 : x
  2. Step 2: Convert to fraction form
    510,606/766,258.92 = 178,182/x
  3. Step 3: Cross multiply
    510,606x = 766,258.92 × 178,182
  4. Step 4: Simplify right side
    510,606x = 136,533,546,883.44
  5. Step 5: Solve for x
    x = 136,533,546,883.44/510,606
  6. Step 6: Final answer
    x = 267,395.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.