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Finding the Fourth Proportional to 304,857.23, 457,309.49 and 91,608.48

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Solution

The fourth proportional to 304,857.23, 457,309.49 and 91,608.48 is: 137,419.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,857.23 : 457,309.49 = 91,608.48 : x
  2. Step 2: Convert to fraction form
    304,857.23/457,309.49 = 91,608.48/x
  3. Step 3: Cross multiply
    304,857.23x = 457,309.49 × 91,608.48
  4. Step 4: Simplify right side
    304,857.23x = 41,893,426,810.43
  5. Step 5: Solve for x
    x = 41,893,426,810.43/304,857.23
  6. Step 6: Final answer
    x = 137,419.83

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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.