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Finding the Fourth Proportional to 742,419, 1,024,008.97 and 681,362.01

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Solution

The fourth proportional to 742,419, 1,024,008.97 and 681,362.01 is: 939,793.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,419 : 1,024,008.97 = 681,362.01 : x
  2. Step 2: Convert to fraction form
    742,419/1,024,008.97 = 681,362.01/x
  3. Step 3: Cross multiply
    742,419x = 1,024,008.97 × 681,362.01
  4. Step 4: Simplify right side
    742,419x = 697,720,810,057.23
  5. Step 5: Solve for x
    x = 697,720,810,057.23/742,419
  6. Step 6: Final answer
    x = 939,793.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.