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Finding the Fourth Proportional to 683,840.76, 1,026,034.56 and 284,757

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Solution

The fourth proportional to 683,840.76, 1,026,034.56 and 284,757 is: 427,249.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,840.76 : 1,026,034.56 = 284,757 : x
  2. Step 2: Convert to fraction form
    683,840.76/1,026,034.56 = 284,757/x
  3. Step 3: Cross multiply
    683,840.76x = 1,026,034.56 × 284,757
  4. Step 4: Simplify right side
    683,840.76x = 292,170,523,201.92
  5. Step 5: Solve for x
    x = 292,170,523,201.92/683,840.76
  6. Step 6: Final answer
    x = 427,249.35

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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.