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Finding the Fourth Proportional to 530,415.78, 795,697 and 170,596.82

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Solution

The fourth proportional to 530,415.78, 795,697 and 170,596.82 is: 255,918.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,415.78 : 795,697 = 170,596.82 : x
  2. Step 2: Convert to fraction form
    530,415.78/795,697 = 170,596.82/x
  3. Step 3: Cross multiply
    530,415.78x = 795,697 × 170,596.82
  4. Step 4: Simplify right side
    530,415.78x = 135,743,377,883.54
  5. Step 5: Solve for x
    x = 135,743,377,883.54/530,415.78
  6. Step 6: Final answer
    x = 255,918.82

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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.