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Finding the Fourth Proportional to 304,942.41, 420,682.52 and 184,045.05

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Solution

The fourth proportional to 304,942.41, 420,682.52 and 184,045.05 is: 253,898.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,942.41 : 420,682.52 = 184,045.05 : x
  2. Step 2: Convert to fraction form
    304,942.41/420,682.52 = 184,045.05/x
  3. Step 3: Cross multiply
    304,942.41x = 420,682.52 × 184,045.05
  4. Step 4: Simplify right side
    304,942.41x = 77,424,535,427.53
  5. Step 5: Solve for x
    x = 77,424,535,427.53/304,942.41
  6. Step 6: Final answer
    x = 253,898.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.