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Finding the Fourth Proportional to 896,269, 1,236,877.14 and 493,886.92

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Solution

The fourth proportional to 896,269, 1,236,877.14 and 493,886.92 is: 681,578.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,269 : 1,236,877.14 = 493,886.92 : x
  2. Step 2: Convert to fraction form
    896,269/1,236,877.14 = 493,886.92/x
  3. Step 3: Cross multiply
    896,269x = 1,236,877.14 × 493,886.92
  4. Step 4: Simplify right side
    896,269x = 610,877,441,093.01
  5. Step 5: Solve for x
    x = 610,877,441,093.01/896,269
  6. Step 6: Final answer
    x = 681,578.23

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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.