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Finding the Fourth Proportional to 538,915.40, 808,373.10 and 419,942.60

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Solution

The fourth proportional to 538,915.40, 808,373.10 and 419,942.60 is: 629,913.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,915.40 : 808,373.10 = 419,942.60 : x
  2. Step 2: Convert to fraction form
    538,915.40/808,373.10 = 419,942.60/x
  3. Step 3: Cross multiply
    538,915.40x = 808,373.10 × 419,942.60
  4. Step 4: Simplify right side
    538,915.40x = 339,470,301,384.06
  5. Step 5: Solve for x
    x = 339,470,301,384.06/538,915.40
  6. Step 6: Final answer
    x = 629,913.90

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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.