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Finding the Fourth Proportional to 599,764.86, 899,693.76 and 200,407.03

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Solution

The fourth proportional to 599,764.86, 899,693.76 and 200,407.03 is: 300,626.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,764.86 : 899,693.76 = 200,407.03 : x
  2. Step 2: Convert to fraction form
    599,764.86/899,693.76 = 200,407.03/x
  3. Step 3: Cross multiply
    599,764.86x = 899,693.76 × 200,407.03
  4. Step 4: Simplify right side
    599,764.86x = 180,304,954,351.13
  5. Step 5: Solve for x
    x = 180,304,954,351.13/599,764.86
  6. Step 6: Final answer
    x = 300,626.07

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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.