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Finding the Fourth Proportional to 393,286.12, 542,738.58 and 223,521.40

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Solution

The fourth proportional to 393,286.12, 542,738.58 and 223,521.40 is: 308,461.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,286.12 : 542,738.58 = 223,521.40 : x
  2. Step 2: Convert to fraction form
    393,286.12/542,738.58 = 223,521.40/x
  3. Step 3: Cross multiply
    393,286.12x = 542,738.58 × 223,521.40
  4. Step 4: Simplify right side
    393,286.12x = 121,313,687,235.61
  5. Step 5: Solve for x
    x = 121,313,687,235.61/393,286.12
  6. Step 6: Final answer
    x = 308,461.65

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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.