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Finding the Fourth Proportional to 513,212.45, 708,204.57 and 283,755.95

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Solution

The fourth proportional to 513,212.45, 708,204.57 and 283,755.95 is: 391,567.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,212.45 : 708,204.57 = 283,755.95 : x
  2. Step 2: Convert to fraction form
    513,212.45/708,204.57 = 283,755.95/x
  3. Step 3: Cross multiply
    513,212.45x = 708,204.57 × 283,755.95
  4. Step 4: Simplify right side
    513,212.45x = 200,957,257,013.67
  5. Step 5: Solve for x
    x = 200,957,257,013.67/513,212.45
  6. Step 6: Final answer
    x = 391,567.39

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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.