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Finding the Fourth Proportional to 305,765.69, 458,544.72 and 116,180.50

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Solution

The fourth proportional to 305,765.69, 458,544.72 and 116,180.50 is: 174,231.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,765.69 : 458,544.72 = 116,180.50 : x
  2. Step 2: Convert to fraction form
    305,765.69/458,544.72 = 116,180.50/x
  3. Step 3: Cross multiply
    305,765.69x = 458,544.72 × 116,180.50
  4. Step 4: Simplify right side
    305,765.69x = 53,273,955,953.95
  5. Step 5: Solve for x
    x = 53,273,955,953.95/305,765.69
  6. Step 6: Final answer
    x = 174,231.31

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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.