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Finding the Fourth Proportional to 626,094.54, 938,944.71 and 205,272

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Solution

The fourth proportional to 626,094.54, 938,944.71 and 205,272 is: 307,843.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    626,094.54 : 938,944.71 = 205,272 : x
  2. Step 2: Convert to fraction form
    626,094.54/938,944.71 = 205,272/x
  3. Step 3: Cross multiply
    626,094.54x = 938,944.71 × 205,272
  4. Step 4: Simplify right side
    626,094.54x = 192,739,058,511.12
  5. Step 5: Solve for x
    x = 192,739,058,511.12/626,094.54
  6. Step 6: Final answer
    x = 307,843.38

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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.