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Finding the Fourth Proportional to 305,910.96, 458,875.50 and 146,003.75

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Solution

The fourth proportional to 305,910.96, 458,875.50 and 146,003.75 is: 219,009.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,910.96 : 458,875.50 = 146,003.75 : x
  2. Step 2: Convert to fraction form
    305,910.96/458,875.50 = 146,003.75/x
  3. Step 3: Cross multiply
    305,910.96x = 458,875.50 × 146,003.75
  4. Step 4: Simplify right side
    305,910.96x = 66,997,544,930.31
  5. Step 5: Solve for x
    x = 66,997,544,930.31/305,910.96
  6. Step 6: Final answer
    x = 219,009.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.