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Finding the Fourth Proportional to 379,625.80, 569,657.40 and 143,138.20

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Solution

The fourth proportional to 379,625.80, 569,657.40 and 143,138.20 is: 214,789.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,625.80 : 569,657.40 = 143,138.20 : x
  2. Step 2: Convert to fraction form
    379,625.80/569,657.40 = 143,138.20/x
  3. Step 3: Cross multiply
    379,625.80x = 569,657.40 × 143,138.20
  4. Step 4: Simplify right side
    379,625.80x = 81,539,734,852.68
  5. Step 5: Solve for x
    x = 81,539,734,852.68/379,625.80
  6. Step 6: Final answer
    x = 214,789.76

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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.