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Finding the Fourth Proportional to 491,093.80, 735,863.10 and 313,282.60

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Solution

The fourth proportional to 491,093.80, 735,863.10 and 313,282.60 is: 469,427.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,093.80 : 735,863.10 = 313,282.60 : x
  2. Step 2: Convert to fraction form
    491,093.80/735,863.10 = 313,282.60/x
  3. Step 3: Cross multiply
    491,093.80x = 735,863.10 × 313,282.60
  4. Step 4: Simplify right side
    491,093.80x = 230,533,105,212.06
  5. Step 5: Solve for x
    x = 230,533,105,212.06/491,093.80
  6. Step 6: Final answer
    x = 469,427.85

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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.