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Finding the Fourth Proportional to 431,523.07, 595,756.97 and 383,643.88

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Solution

The fourth proportional to 431,523.07, 595,756.97 and 383,643.88 is: 529,655.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,523.07 : 595,756.97 = 383,643.88 : x
  2. Step 2: Convert to fraction form
    431,523.07/595,756.97 = 383,643.88/x
  3. Step 3: Cross multiply
    431,523.07x = 595,756.97 × 383,643.88
  4. Step 4: Simplify right side
    431,523.07x = 228,558,515,507.84
  5. Step 5: Solve for x
    x = 228,558,515,507.84/431,523.07
  6. Step 6: Final answer
    x = 529,655.38

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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.