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Finding the Fourth Proportional to 510,647.44, 766,321.08 and 178,223.44

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Solution

The fourth proportional to 510,647.44, 766,321.08 and 178,223.44 is: 267,457.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,647.44 : 766,321.08 = 178,223.44 : x
  2. Step 2: Convert to fraction form
    510,647.44/766,321.08 = 178,223.44/x
  3. Step 3: Cross multiply
    510,647.44x = 766,321.08 × 178,223.44
  4. Step 4: Simplify right side
    510,647.44x = 136,576,379,022.12
  5. Step 5: Solve for x
    x = 136,576,379,022.12/510,647.44
  6. Step 6: Final answer
    x = 267,457.29

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1.5x scale

Why These Related Problems?

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