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Finding the Fourth Proportional to 510,109.80, 765,164.70 and 419,908.20

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Solution

The fourth proportional to 510,109.80, 765,164.70 and 419,908.20 is: 629,862.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,109.80 : 765,164.70 = 419,908.20 : x
  2. Step 2: Convert to fraction form
    510,109.80/765,164.70 = 419,908.20/x
  3. Step 3: Cross multiply
    510,109.80x = 765,164.70 × 419,908.20
  4. Step 4: Simplify right side
    510,109.80x = 321,298,931,880.54
  5. Step 5: Solve for x
    x = 321,298,931,880.54/510,109.80
  6. Step 6: Final answer
    x = 629,862.30

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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.