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Finding the Fourth Proportional to 305,944.48, 458,847.42 and 116,337.25

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Solution

The fourth proportional to 305,944.48, 458,847.42 and 116,337.25 is: 174,479.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,944.48 : 458,847.42 = 116,337.25 : x
  2. Step 2: Convert to fraction form
    305,944.48/458,847.42 = 116,337.25/x
  3. Step 3: Cross multiply
    305,944.48x = 458,847.42 × 116,337.25
  4. Step 4: Simplify right side
    305,944.48x = 53,381,047,012.40
  5. Step 5: Solve for x
    x = 53,381,047,012.40/305,944.48
  6. Step 6: Final answer
    x = 174,479.52

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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.