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Finding the Fourth Proportional to 431,946.27, 596,081.84 and 238,355.87

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Solution

The fourth proportional to 431,946.27, 596,081.84 and 238,355.87 is: 328,928.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,946.27 : 596,081.84 = 238,355.87 : x
  2. Step 2: Convert to fraction form
    431,946.27/596,081.84 = 238,355.87/x
  3. Step 3: Cross multiply
    431,946.27x = 596,081.84 × 238,355.87
  4. Step 4: Simplify right side
    431,946.27x = 142,079,601,392.21
  5. Step 5: Solve for x
    x = 142,079,601,392.21/431,946.27
  6. Step 6: Final answer
    x = 328,928.88

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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.