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Finding the Fourth Proportional to 702,435.68, 969,361.17 and 380,145.84

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Solution

The fourth proportional to 702,435.68, 969,361.17 and 380,145.84 is: 524,601.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,435.68 : 969,361.17 = 380,145.84 : x
  2. Step 2: Convert to fraction form
    702,435.68/969,361.17 = 380,145.84/x
  3. Step 3: Cross multiply
    702,435.68x = 969,361.17 × 380,145.84
  4. Step 4: Simplify right side
    702,435.68x = 368,498,618,763.36
  5. Step 5: Solve for x
    x = 368,498,618,763.36/702,435.68
  6. Step 6: Final answer
    x = 524,601.23

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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.