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Finding the Fourth Proportional to 414,195.39, 620,899.29 and 264,014.10

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Solution

The fourth proportional to 414,195.39, 620,899.29 and 264,014.10 is: 395,770.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,195.39 : 620,899.29 = 264,014.10 : x
  2. Step 2: Convert to fraction form
    414,195.39/620,899.29 = 264,014.10/x
  3. Step 3: Cross multiply
    414,195.39x = 620,899.29 × 264,014.10
  4. Step 4: Simplify right side
    414,195.39x = 163,926,167,239.99
  5. Step 5: Solve for x
    x = 163,926,167,239.99/414,195.39
  6. Step 6: Final answer
    x = 395,770.14

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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.