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Finding the Fourth Proportional to 414,489.04, 621,733.56 and 274,214.92

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Solution

The fourth proportional to 414,489.04, 621,733.56 and 274,214.92 is: 411,322.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,489.04 : 621,733.56 = 274,214.92 : x
  2. Step 2: Convert to fraction form
    414,489.04/621,733.56 = 274,214.92/x
  3. Step 3: Cross multiply
    414,489.04x = 621,733.56 × 274,214.92
  4. Step 4: Simplify right side
    414,489.04x = 170,488,618,416.72
  5. Step 5: Solve for x
    x = 170,488,618,416.72/414,489.04
  6. Step 6: Final answer
    x = 411,322.38

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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.