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Finding the Fourth Proportional to 431,523.57, 595,757.66 and 383,644.38

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Solution

The fourth proportional to 431,523.57, 595,757.66 and 383,644.38 is: 529,656.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,523.57 : 595,757.66 = 383,644.38 : x
  2. Step 2: Convert to fraction form
    431,523.57/595,757.66 = 383,644.38/x
  3. Step 3: Cross multiply
    431,523.57x = 595,757.66 × 383,644.38
  4. Step 4: Simplify right side
    431,523.57x = 228,559,076,182.73
  5. Step 5: Solve for x
    x = 228,559,076,182.73/431,523.57
  6. Step 6: Final answer
    x = 529,656.07

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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.