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Finding the Fourth Proportional to 567,575.24, 783,390.30 and 341,177

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Solution

The fourth proportional to 567,575.24, 783,390.30 and 341,177 is: 470,906.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,575.24 : 783,390.30 = 341,177 : x
  2. Step 2: Convert to fraction form
    567,575.24/783,390.30 = 341,177/x
  3. Step 3: Cross multiply
    567,575.24x = 783,390.30 × 341,177
  4. Step 4: Simplify right side
    567,575.24x = 267,274,752,383.10
  5. Step 5: Solve for x
    x = 267,274,752,383.10/567,575.24
  6. Step 6: Final answer
    x = 470,906.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.