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Finding the Fourth Proportional to 557,234.54, 768,984.12 and 315,517.49

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Solution

The fourth proportional to 557,234.54, 768,984.12 and 315,517.49 is: 435,414.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,234.54 : 768,984.12 = 315,517.49 : x
  2. Step 2: Convert to fraction form
    557,234.54/768,984.12 = 315,517.49/x
  3. Step 3: Cross multiply
    557,234.54x = 768,984.12 × 315,517.49
  4. Step 4: Simplify right side
    557,234.54x = 242,627,937,814.67
  5. Step 5: Solve for x
    x = 242,627,937,814.67/557,234.54
  6. Step 6: Final answer
    x = 435,414.39

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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.