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Finding the Fourth Proportional to 895,917, 1,236,365.48 and 493,509

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Solution

The fourth proportional to 895,917, 1,236,365.48 and 493,509 is: 681,042.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    895,917 : 1,236,365.48 = 493,509 : x
  2. Step 2: Convert to fraction form
    895,917/1,236,365.48 = 493,509/x
  3. Step 3: Cross multiply
    895,917x = 1,236,365.48 × 493,509
  4. Step 4: Simplify right side
    895,917x = 610,157,491,669.32
  5. Step 5: Solve for x
    x = 610,157,491,669.32/895,917
  6. Step 6: Final answer
    x = 681,042.43

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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.