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Finding the Fourth Proportional to 538,895.40, 808,343.10 and 419,922.60

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Solution

The fourth proportional to 538,895.40, 808,343.10 and 419,922.60 is: 629,883.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,895.40 : 808,343.10 = 419,922.60 : x
  2. Step 2: Convert to fraction form
    538,895.40/808,343.10 = 419,922.60/x
  3. Step 3: Cross multiply
    538,895.40x = 808,343.10 × 419,922.60
  4. Step 4: Simplify right side
    538,895.40x = 339,441,536,244.06
  5. Step 5: Solve for x
    x = 339,441,536,244.06/538,895.40
  6. Step 6: Final answer
    x = 629,883.90

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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.