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Finding the Fourth Proportional to 255,862.40, 383,102.40 and 200,566.40

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Solution

The fourth proportional to 255,862.40, 383,102.40 and 200,566.40 is: 300,307.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,862.40 : 383,102.40 = 200,566.40 : x
  2. Step 2: Convert to fraction form
    255,862.40/383,102.40 = 200,566.40/x
  3. Step 3: Cross multiply
    255,862.40x = 383,102.40 × 200,566.40
  4. Step 4: Simplify right side
    255,862.40x = 76,837,469,199.36
  5. Step 5: Solve for x
    x = 76,837,469,199.36/255,862.40
  6. Step 6: Final answer
    x = 300,307.78

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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.