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Finding the Fourth Proportional to 523,768.44, 785,997.18 and 287,277

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Solution

The fourth proportional to 523,768.44, 785,997.18 and 287,277 is: 431,104.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,768.44 : 785,997.18 = 287,277 : x
  2. Step 2: Convert to fraction form
    523,768.44/785,997.18 = 287,277/x
  3. Step 3: Cross multiply
    523,768.44x = 785,997.18 × 287,277
  4. Step 4: Simplify right side
    523,768.44x = 225,798,911,878.86
  5. Step 5: Solve for x
    x = 225,798,911,878.86/523,768.44
  6. Step 6: Final answer
    x = 431,104.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.