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Finding the Fourth Proportional to 792,996, 1,093,608.48 and 520,956

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Solution

The fourth proportional to 792,996, 1,093,608.48 and 520,956 is: 718,442.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    792,996 : 1,093,608.48 = 520,956 : x
  2. Step 2: Convert to fraction form
    792,996/1,093,608.48 = 520,956/x
  3. Step 3: Cross multiply
    792,996x = 1,093,608.48 × 520,956
  4. Step 4: Simplify right side
    792,996x = 569,721,899,306.88
  5. Step 5: Solve for x
    x = 569,721,899,306.88/792,996
  6. Step 6: Final answer
    x = 718,442.34

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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.