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Finding the Fourth Proportional to 304,993.52, 420,790.23 and 184,088.87

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Solution

The fourth proportional to 304,993.52, 420,790.23 and 184,088.87 is: 253,981.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,993.52 : 420,790.23 = 184,088.87 : x
  2. Step 2: Convert to fraction form
    304,993.52/420,790.23 = 184,088.87/x
  3. Step 3: Cross multiply
    304,993.52x = 420,790.23 × 184,088.87
  4. Step 4: Simplify right side
    304,993.52x = 77,462,795,843.79
  5. Step 5: Solve for x
    x = 77,462,795,843.79/304,993.52
  6. Step 6: Final answer
    x = 253,981.78

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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.