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Finding the Fourth Proportional to 304,952.68, 420,856.86 and 184,123.36

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Solution

The fourth proportional to 304,952.68, 420,856.86 and 184,123.36 is: 254,103.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,952.68 : 420,856.86 = 184,123.36 : x
  2. Step 2: Convert to fraction form
    304,952.68/420,856.86 = 184,123.36/x
  3. Step 3: Cross multiply
    304,952.68x = 420,856.86 × 184,123.36
  4. Step 4: Simplify right side
    304,952.68x = 77,489,579,142.25
  5. Step 5: Solve for x
    x = 77,489,579,142.25/304,952.68
  6. Step 6: Final answer
    x = 254,103.62

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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.