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Finding the Fourth Proportional to 392,298.16, 541,355.52 and 222,528.64

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Solution

The fourth proportional to 392,298.16, 541,355.52 and 222,528.64 is: 307,080.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,298.16 : 541,355.52 = 222,528.64 : x
  2. Step 2: Convert to fraction form
    392,298.16/541,355.52 = 222,528.64/x
  3. Step 3: Cross multiply
    392,298.16x = 541,355.52 × 222,528.64
  4. Step 4: Simplify right side
    392,298.16x = 120,467,107,622.09
  5. Step 5: Solve for x
    x = 120,467,107,622.09/392,298.16
  6. Step 6: Final answer
    x = 307,080.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.