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Finding the Fourth Proportional to 1,046,538, 1,570,041 and 381,690

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Solution

The fourth proportional to 1,046,538, 1,570,041 and 381,690 is: 572,620.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046,538 : 1,570,041 = 381,690 : x
  2. Step 2: Convert to fraction form
    1,046,538/1,570,041 = 381,690/x
  3. Step 3: Cross multiply
    1,046,538x = 1,570,041 × 381,690
  4. Step 4: Simplify right side
    1,046,538x = 599,268,949,290
  5. Step 5: Solve for x
    x = 599,268,949,290/1,046,538
  6. Step 6: Final answer
    x = 572,620.34

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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.