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Finding the Fourth Proportional to 270,514.98, 405,841.68 and 158,289.60

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Solution

The fourth proportional to 270,514.98, 405,841.68 and 158,289.60 is: 237,474.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,514.98 : 405,841.68 = 158,289.60 : x
  2. Step 2: Convert to fraction form
    270,514.98/405,841.68 = 158,289.60/x
  3. Step 3: Cross multiply
    270,514.98x = 405,841.68 × 158,289.60
  4. Step 4: Simplify right side
    270,514.98x = 64,240,517,190.53
  5. Step 5: Solve for x
    x = 64,240,517,190.53/270,514.98
  6. Step 6: Final answer
    x = 237,474.90

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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.