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Finding the Fourth Proportional to 304,407.86, 456,614.88 and 135,936.77

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Solution

The fourth proportional to 304,407.86, 456,614.88 and 135,936.77 is: 203,906.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,407.86 : 456,614.88 = 135,936.77 : x
  2. Step 2: Convert to fraction form
    304,407.86/456,614.88 = 135,936.77/x
  3. Step 3: Cross multiply
    304,407.86x = 456,614.88 × 135,936.77
  4. Step 4: Simplify right side
    304,407.86x = 62,070,751,241.45
  5. Step 5: Solve for x
    x = 62,070,751,241.45/304,407.86
  6. Step 6: Final answer
    x = 203,906.53

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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.