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Finding the Fourth Proportional to 405,714.60, 608,571.90 and 110,226.60

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Solution

The fourth proportional to 405,714.60, 608,571.90 and 110,226.60 is: 165,339.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,714.60 : 608,571.90 = 110,226.60 : x
  2. Step 2: Convert to fraction form
    405,714.60/608,571.90 = 110,226.60/x
  3. Step 3: Cross multiply
    405,714.60x = 608,571.90 × 110,226.60
  4. Step 4: Simplify right side
    405,714.60x = 67,080,811,392.54
  5. Step 5: Solve for x
    x = 67,080,811,392.54/405,714.60
  6. Step 6: Final answer
    x = 165,339.90

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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.