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Finding the Fourth Proportional to 1,294,102.40, 1,942,903.20 and 821,710.40

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Solution

The fourth proportional to 1,294,102.40, 1,942,903.20 and 821,710.40 is: 1,233,676.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294,102.40 : 1,942,903.20 = 821,710.40 : x
  2. Step 2: Convert to fraction form
    1,294,102.40/1,942,903.20 = 821,710.40/x
  3. Step 3: Cross multiply
    1,294,102.40x = 1,942,903.20 × 821,710.40
  4. Step 4: Simplify right side
    1,294,102.40x = 1,596,503,765,633.28
  5. Step 5: Solve for x
    x = 1,596,503,765,633.28/1,294,102.40
  6. Step 6: Final answer
    x = 1,233,676.54

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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.