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Finding the Fourth Proportional to 263,765.36, 363,974.66 and 154,858.22

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Solution

The fourth proportional to 263,765.36, 363,974.66 and 154,858.22 is: 213,691.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,765.36 : 363,974.66 = 154,858.22 : x
  2. Step 2: Convert to fraction form
    263,765.36/363,974.66 = 154,858.22/x
  3. Step 3: Cross multiply
    263,765.36x = 363,974.66 × 154,858.22
  4. Step 4: Simplify right side
    263,765.36x = 56,364,467,972.71
  5. Step 5: Solve for x
    x = 56,364,467,972.71/263,765.36
  6. Step 6: Final answer
    x = 213,691.70

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1.5x scale

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.