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Finding the Fourth Proportional to 392,297.16, 541,354.14 and 222,527.64

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Solution

The fourth proportional to 392,297.16, 541,354.14 and 222,527.64 is: 307,079.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,297.16 : 541,354.14 = 222,527.64 : x
  2. Step 2: Convert to fraction form
    392,297.16/541,354.14 = 222,527.64/x
  3. Step 3: Cross multiply
    392,297.16x = 541,354.14 × 222,527.64
  4. Step 4: Simplify right side
    392,297.16x = 120,466,259,178.43
  5. Step 5: Solve for x
    x = 120,466,259,178.43/392,297.16
  6. Step 6: Final answer
    x = 307,079.10

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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.