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Finding the Fourth Proportional to 414,468.60, 620,666.10 and 331,524.60

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Solution

The fourth proportional to 414,468.60, 620,666.10 and 331,524.60 is: 496,457.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,468.60 : 620,666.10 = 331,524.60 : x
  2. Step 2: Convert to fraction form
    414,468.60/620,666.10 = 331,524.60/x
  3. Step 3: Cross multiply
    414,468.60x = 620,666.10 × 331,524.60
  4. Step 4: Simplify right side
    414,468.60x = 205,766,080,536.06
  5. Step 5: Solve for x
    x = 205,766,080,536.06/414,468.60
  6. Step 6: Final answer
    x = 496,457.59

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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.