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Finding the Fourth Proportional to 538,880.40, 808,320.60 and 419,907.60

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Solution

The fourth proportional to 538,880.40, 808,320.60 and 419,907.60 is: 629,861.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,880.40 : 808,320.60 = 419,907.60 : x
  2. Step 2: Convert to fraction form
    538,880.40/808,320.60 = 419,907.60/x
  3. Step 3: Cross multiply
    538,880.40x = 808,320.60 × 419,907.60
  4. Step 4: Simplify right side
    538,880.40x = 339,419,963,176.56
  5. Step 5: Solve for x
    x = 339,419,963,176.56/538,880.40
  6. Step 6: Final answer
    x = 629,861.40

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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.