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Finding the Fourth Proportional to 382,677.40, 574,037.70 and 116,446.60

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Solution

The fourth proportional to 382,677.40, 574,037.70 and 116,446.60 is: 174,676.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,677.40 : 574,037.70 = 116,446.60 : x
  2. Step 2: Convert to fraction form
    382,677.40/574,037.70 = 116,446.60/x
  3. Step 3: Cross multiply
    382,677.40x = 574,037.70 × 116,446.60
  4. Step 4: Simplify right side
    382,677.40x = 66,844,738,436.82
  5. Step 5: Solve for x
    x = 66,844,738,436.82/382,677.40
  6. Step 6: Final answer
    x = 174,676.47

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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.