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Finding the Fourth Proportional to 307,471.30, 461,349.41 and 117,868.32

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Solution

The fourth proportional to 307,471.30, 461,349.41 and 117,868.32 is: 176,857.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,471.30 : 461,349.41 = 117,868.32 : x
  2. Step 2: Convert to fraction form
    307,471.30/461,349.41 = 117,868.32/x
  3. Step 3: Cross multiply
    307,471.30x = 461,349.41 × 117,868.32
  4. Step 4: Simplify right side
    307,471.30x = 54,378,479,300.35
  5. Step 5: Solve for x
    x = 54,378,479,300.35/307,471.30
  6. Step 6: Final answer
    x = 176,857.09

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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.