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Finding the Fourth Proportional to 1,294,000.40, 1,942,750.20 and 821,608.40

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Solution

The fourth proportional to 1,294,000.40, 1,942,750.20 and 821,608.40 is: 1,233,523.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294,000.40 : 1,942,750.20 = 821,608.40 : x
  2. Step 2: Convert to fraction form
    1,294,000.40/1,942,750.20 = 821,608.40/x
  3. Step 3: Cross multiply
    1,294,000.40x = 1,942,750.20 × 821,608.40
  4. Step 4: Simplify right side
    1,294,000.40x = 1,596,179,883,421.68
  5. Step 5: Solve for x
    x = 1,596,179,883,421.68/1,294,000.40
  6. Step 6: Final answer
    x = 1,233,523.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.