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Finding the Fourth Proportional to 431,732, 595,790.16 and 252,884

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Solution

The fourth proportional to 431,732, 595,790.16 and 252,884 is: 348,979.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,732 : 595,790.16 = 252,884 : x
  2. Step 2: Convert to fraction form
    431,732/595,790.16 = 252,884/x
  3. Step 3: Cross multiply
    431,732x = 595,790.16 × 252,884
  4. Step 4: Simplify right side
    431,732x = 150,665,798,821.44
  5. Step 5: Solve for x
    x = 150,665,798,821.44/431,732
  6. Step 6: Final answer
    x = 348,979.92

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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.