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Finding the Fourth Proportional to 422,911.04, 583,457.10 and 269,954.96

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Solution

The fourth proportional to 422,911.04, 583,457.10 and 269,954.96 is: 372,435.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,911.04 : 583,457.10 = 269,954.96 : x
  2. Step 2: Convert to fraction form
    422,911.04/583,457.10 = 269,954.96/x
  3. Step 3: Cross multiply
    422,911.04x = 583,457.10 × 269,954.96
  4. Step 4: Simplify right side
    422,911.04x = 157,507,138,092.22
  5. Step 5: Solve for x
    x = 157,507,138,092.22/422,911.04
  6. Step 6: Final answer
    x = 372,435.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.