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Finding the Fourth Proportional to 510,567.44, 766,201.08 and 178,143.44

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Solution

The fourth proportional to 510,567.44, 766,201.08 and 178,143.44 is: 267,337.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,567.44 : 766,201.08 = 178,143.44 : x
  2. Step 2: Convert to fraction form
    510,567.44/766,201.08 = 178,143.44/x
  3. Step 3: Cross multiply
    510,567.44x = 766,201.08 × 178,143.44
  4. Step 4: Simplify right side
    510,567.44x = 136,493,696,122.92
  5. Step 5: Solve for x
    x = 136,493,696,122.92/510,567.44
  6. Step 6: Final answer
    x = 267,337.25

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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.