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Finding the Fourth Proportional to 400,138.52, 552,184.16 and 218,846.48

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Solution

The fourth proportional to 400,138.52, 552,184.16 and 218,846.48 is: 302,004.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,138.52 : 552,184.16 = 218,846.48 : x
  2. Step 2: Convert to fraction form
    400,138.52/552,184.16 = 218,846.48/x
  3. Step 3: Cross multiply
    400,138.52x = 552,184.16 × 218,846.48
  4. Step 4: Simplify right side
    400,138.52x = 120,843,559,727.76
  5. Step 5: Solve for x
    x = 120,843,559,727.76/400,138.52
  6. Step 6: Final answer
    x = 302,004.32

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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.