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Finding the Fourth Proportional to 469,456.32, 647,832.24 and 278,355.36

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Solution

The fourth proportional to 469,456.32, 647,832.24 and 278,355.36 is: 384,120.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,456.32 : 647,832.24 = 278,355.36 : x
  2. Step 2: Convert to fraction form
    469,456.32/647,832.24 = 278,355.36/x
  3. Step 3: Cross multiply
    469,456.32x = 647,832.24 × 278,355.36
  4. Step 4: Simplify right side
    469,456.32x = 180,327,576,384.81
  5. Step 5: Solve for x
    x = 180,327,576,384.81/469,456.32
  6. Step 6: Final answer
    x = 384,120.03

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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.