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Finding the Fourth Proportional to 305,593.70, 458,109.90 and 105,774.34

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Solution

The fourth proportional to 305,593.70, 458,109.90 and 105,774.34 is: 158,564.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,593.70 : 458,109.90 = 105,774.34 : x
  2. Step 2: Convert to fraction form
    305,593.70/458,109.90 = 105,774.34/x
  3. Step 3: Cross multiply
    305,593.70x = 458,109.90 × 105,774.34
  4. Step 4: Simplify right side
    305,593.70x = 48,456,274,037.88
  5. Step 5: Solve for x
    x = 48,456,274,037.88/305,593.70
  6. Step 6: Final answer
    x = 158,564.37

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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.