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Finding the Fourth Proportional to 567,517.24, 783,179.85 and 312,877.54

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Solution

The fourth proportional to 567,517.24, 783,179.85 and 312,877.54 is: 431,774.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,517.24 : 783,179.85 = 312,877.54 : x
  2. Step 2: Convert to fraction form
    567,517.24/783,179.85 = 312,877.54/x
  3. Step 3: Cross multiply
    567,517.24x = 783,179.85 × 312,877.54
  4. Step 4: Simplify right side
    567,517.24x = 245,039,384,845.57
  5. Step 5: Solve for x
    x = 245,039,384,845.57/567,517.24
  6. Step 6: Final answer
    x = 431,774.35

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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.