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Finding the Fourth Proportional to 270,296.70, 405,736.65 and 152,198.70

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Solution

The fourth proportional to 270,296.70, 405,736.65 and 152,198.70 is: 228,462.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,296.70 : 405,736.65 = 152,198.70 : x
  2. Step 2: Convert to fraction form
    270,296.70/405,736.65 = 152,198.70/x
  3. Step 3: Cross multiply
    270,296.70x = 405,736.65 × 152,198.70
  4. Step 4: Simplify right side
    270,296.70x = 61,752,590,672.36
  5. Step 5: Solve for x
    x = 61,752,590,672.36/270,296.70
  6. Step 6: Final answer
    x = 228,462.24

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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.