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Finding the Fourth Proportional to 300,538.64, 414,714.60 and 179,655.92

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Solution

The fourth proportional to 300,538.64, 414,714.60 and 179,655.92 is: 247,908.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,538.64 : 414,714.60 = 179,655.92 : x
  2. Step 2: Convert to fraction form
    300,538.64/414,714.60 = 179,655.92/x
  3. Step 3: Cross multiply
    300,538.64x = 414,714.60 × 179,655.92
  4. Step 4: Simplify right side
    300,538.64x = 74,505,933,000.43
  5. Step 5: Solve for x
    x = 74,505,933,000.43/300,538.64
  6. Step 6: Final answer
    x = 247,908.00

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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.