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Finding the Fourth Proportional to 380,047.80, 569,695.70 and 180,016.60

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Solution

The fourth proportional to 380,047.80, 569,695.70 and 180,016.60 is: 269,846.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,047.80 : 569,695.70 = 180,016.60 : x
  2. Step 2: Convert to fraction form
    380,047.80/569,695.70 = 180,016.60/x
  3. Step 3: Cross multiply
    380,047.80x = 569,695.70 × 180,016.60
  4. Step 4: Simplify right side
    380,047.80x = 102,554,682,948.62
  5. Step 5: Solve for x
    x = 102,554,682,948.62/380,047.80
  6. Step 6: Final answer
    x = 269,846.80

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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.