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Finding the Fourth Proportional to 414,452.02, 621,677.94 and 296,354.02

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Solution

The fourth proportional to 414,452.02, 621,677.94 and 296,354.02 is: 444,530.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,452.02 : 621,677.94 = 296,354.02 : x
  2. Step 2: Convert to fraction form
    414,452.02/621,677.94 = 296,354.02/x
  3. Step 3: Cross multiply
    414,452.02x = 621,677.94 × 296,354.02
  4. Step 4: Simplify right side
    414,452.02x = 184,236,756,664.32
  5. Step 5: Solve for x
    x = 184,236,756,664.32/414,452.02
  6. Step 6: Final answer
    x = 444,530.97

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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.