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Finding the Fourth Proportional to 304,614.68, 456,796.26 and 115,042.78

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Solution

The fourth proportional to 304,614.68, 456,796.26 and 115,042.78 is: 172,516.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,614.68 : 456,796.26 = 115,042.78 : x
  2. Step 2: Convert to fraction form
    304,614.68/456,796.26 = 115,042.78/x
  3. Step 3: Cross multiply
    304,614.68x = 456,796.26 × 115,042.78
  4. Step 4: Simplify right side
    304,614.68x = 52,551,112,215.00
  5. Step 5: Solve for x
    x = 52,551,112,215.00/304,614.68
  6. Step 6: Final answer
    x = 172,516.68

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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.