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Finding the Fourth Proportional to 431,577.38, 595,612.24 and 238,022.96

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Solution

The fourth proportional to 431,577.38, 595,612.24 and 238,022.96 is: 328,491.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,577.38 : 595,612.24 = 238,022.96 : x
  2. Step 2: Convert to fraction form
    431,577.38/595,612.24 = 238,022.96/x
  3. Step 3: Cross multiply
    431,577.38x = 595,612.24 × 238,022.96
  4. Step 4: Simplify right side
    431,577.38x = 141,769,384,803.91
  5. Step 5: Solve for x
    x = 141,769,384,803.91/431,577.38
  6. Step 6: Final answer
    x = 328,491.23

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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.