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Finding the Fourth Proportional to 786,096, 1,084,813.56 and 428,400

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Solution

The fourth proportional to 786,096, 1,084,813.56 and 428,400 is: 591,192.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,096 : 1,084,813.56 = 428,400 : x
  2. Step 2: Convert to fraction form
    786,096/1,084,813.56 = 428,400/x
  3. Step 3: Cross multiply
    786,096x = 1,084,813.56 × 428,400
  4. Step 4: Simplify right side
    786,096x = 464,734,129,104
  5. Step 5: Solve for x
    x = 464,734,129,104/786,096
  6. Step 6: Final answer
    x = 591,192.59

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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.