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Finding the Fourth Proportional to 414,393.35, 621,528.43 and 114,842.70

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Solution

The fourth proportional to 414,393.35, 621,528.43 and 114,842.70 is: 172,246.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,393.35 : 621,528.43 = 114,842.70 : x
  2. Step 2: Convert to fraction form
    414,393.35/621,528.43 = 114,842.70/x
  3. Step 3: Cross multiply
    414,393.35x = 621,528.43 × 114,842.70
  4. Step 4: Simplify right side
    414,393.35x = 71,378,003,027.96
  5. Step 5: Solve for x
    x = 71,378,003,027.96/414,393.35
  6. Step 6: Final answer
    x = 172,246.98

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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.