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Finding the Fourth Proportional to 305,999.10, 458,998.65 and 106,544.70

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Solution

The fourth proportional to 305,999.10, 458,998.65 and 106,544.70 is: 159,817.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,999.10 : 458,998.65 = 106,544.70 : x
  2. Step 2: Convert to fraction form
    305,999.10/458,998.65 = 106,544.70/x
  3. Step 3: Cross multiply
    305,999.10x = 458,998.65 × 106,544.70
  4. Step 4: Simplify right side
    305,999.10x = 48,903,873,464.66
  5. Step 5: Solve for x
    x = 48,903,873,464.66/305,999.10
  6. Step 6: Final answer
    x = 159,817.05

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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.