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Finding the Fourth Proportional to 431,523.20, 595,757.14 and 383,644.01

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Solution

The fourth proportional to 431,523.20, 595,757.14 and 383,644.01 is: 529,655.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,523.20 : 595,757.14 = 383,644.01 : x
  2. Step 2: Convert to fraction form
    431,523.20/595,757.14 = 383,644.01/x
  3. Step 3: Cross multiply
    431,523.20x = 595,757.14 × 383,644.01
  4. Step 4: Simplify right side
    431,523.20x = 228,558,654,237.84
  5. Step 5: Solve for x
    x = 228,558,654,237.84/431,523.20
  6. Step 6: Final answer
    x = 529,655.55

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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.