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Finding the Fourth Proportional to 219,810.40, 329,715.60 and 200,564.80

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Solution

The fourth proportional to 219,810.40, 329,715.60 and 200,564.80 is: 300,847.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,810.40 : 329,715.60 = 200,564.80 : x
  2. Step 2: Convert to fraction form
    219,810.40/329,715.60 = 200,564.80/x
  3. Step 3: Cross multiply
    219,810.40x = 329,715.60 × 200,564.80
  4. Step 4: Simplify right side
    219,810.40x = 66,129,343,370.88
  5. Step 5: Solve for x
    x = 66,129,343,370.88/219,810.40
  6. Step 6: Final answer
    x = 300,847.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.