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Finding the Fourth Proportional to 510,075.44, 765,018 and 206,390

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Solution

The fourth proportional to 510,075.44, 765,018 and 206,390 is: 309,546.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,075.44 : 765,018 = 206,390 : x
  2. Step 2: Convert to fraction form
    510,075.44/765,018 = 206,390/x
  3. Step 3: Cross multiply
    510,075.44x = 765,018 × 206,390
  4. Step 4: Simplify right side
    510,075.44x = 157,892,065,020
  5. Step 5: Solve for x
    x = 157,892,065,020/510,075.44
  6. Step 6: Final answer
    x = 309,546.50

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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.