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Finding the Fourth Proportional to 497,057.01, 685,958.09 and 282,217.07

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Solution

The fourth proportional to 497,057.01, 685,958.09 and 282,217.07 is: 389,470.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,057.01 : 685,958.09 = 282,217.07 : x
  2. Step 2: Convert to fraction form
    497,057.01/685,958.09 = 282,217.07/x
  3. Step 3: Cross multiply
    497,057.01x = 685,958.09 × 282,217.07
  4. Step 4: Simplify right side
    497,057.01x = 193,589,082,302.60
  5. Step 5: Solve for x
    x = 193,589,082,302.60/497,057.01
  6. Step 6: Final answer
    x = 389,470.58

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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.