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Finding the Fourth Proportional to 304,974.72, 457,257.78 and 117,767.52

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Solution

The fourth proportional to 304,974.72, 457,257.78 and 117,767.52 is: 176,572.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,974.72 : 457,257.78 = 117,767.52 : x
  2. Step 2: Convert to fraction form
    304,974.72/457,257.78 = 117,767.52/x
  3. Step 3: Cross multiply
    304,974.72x = 457,257.78 × 117,767.52
  4. Step 4: Simplify right side
    304,974.72x = 53,850,114,751.31
  5. Step 5: Solve for x
    x = 53,850,114,751.31/304,974.72
  6. Step 6: Final answer
    x = 176,572.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.