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Finding the Fourth Proportional to 305,588.61, 458,385.20 and 115,997.87

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Solution

The fourth proportional to 305,588.61, 458,385.20 and 115,997.87 is: 173,997.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,588.61 : 458,385.20 = 115,997.87 : x
  2. Step 2: Convert to fraction form
    305,588.61/458,385.20 = 115,997.87/x
  3. Step 3: Cross multiply
    305,588.61x = 458,385.20 × 115,997.87
  4. Step 4: Simplify right side
    305,588.61x = 53,171,703,967.61
  5. Step 5: Solve for x
    x = 53,171,703,967.61/305,588.61
  6. Step 6: Final answer
    x = 173,997.66

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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.