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Finding the Fourth Proportional to 684,978.44, 1,027,873.56 and 381,626.50

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Solution

The fourth proportional to 684,978.44, 1,027,873.56 and 381,626.50 is: 572,665.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,978.44 : 1,027,873.56 = 381,626.50 : x
  2. Step 2: Convert to fraction form
    684,978.44/1,027,873.56 = 381,626.50/x
  3. Step 3: Cross multiply
    684,978.44x = 1,027,873.56 × 381,626.50
  4. Step 4: Simplify right side
    684,978.44x = 392,263,789,145.34
  5. Step 5: Solve for x
    x = 392,263,789,145.34/684,978.44
  6. Step 6: Final answer
    x = 572,665.89

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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.