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Finding the Fourth Proportional to 500,580.36, 750,769.38 and 180,722.52

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Solution

The fourth proportional to 500,580.36, 750,769.38 and 180,722.52 is: 271,047.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,580.36 : 750,769.38 = 180,722.52 : x
  2. Step 2: Convert to fraction form
    500,580.36/750,769.38 = 180,722.52/x
  3. Step 3: Cross multiply
    500,580.36x = 750,769.38 × 180,722.52
  4. Step 4: Simplify right side
    500,580.36x = 135,680,934,292.44
  5. Step 5: Solve for x
    x = 135,680,934,292.44/500,580.36
  6. Step 6: Final answer
    x = 271,047.26

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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.