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Finding the Fourth Proportional to 291,455.36, 437,007.84 and 197,676.80

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Solution

The fourth proportional to 291,455.36, 437,007.84 and 197,676.80 is: 296,396.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,455.36 : 437,007.84 = 197,676.80 : x
  2. Step 2: Convert to fraction form
    291,455.36/437,007.84 = 197,676.80/x
  3. Step 3: Cross multiply
    291,455.36x = 437,007.84 × 197,676.80
  4. Step 4: Simplify right side
    291,455.36x = 86,386,311,386.11
  5. Step 5: Solve for x
    x = 86,386,311,386.11/291,455.36
  6. Step 6: Final answer
    x = 296,396.37

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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.