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Finding the Fourth Proportional to 289,610.30, 433,540.65 and 254,618.30

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Solution

The fourth proportional to 289,610.30, 433,540.65 and 254,618.30 is: 381,158.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,610.30 : 433,540.65 = 254,618.30 : x
  2. Step 2: Convert to fraction form
    289,610.30/433,540.65 = 254,618.30/x
  3. Step 3: Cross multiply
    289,610.30x = 433,540.65 × 254,618.30
  4. Step 4: Simplify right side
    289,610.30x = 110,387,383,283.90
  5. Step 5: Solve for x
    x = 110,387,383,283.90/289,610.30
  6. Step 6: Final answer
    x = 381,158.35

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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.