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Finding the Fourth Proportional to 305,840.79, 458,761.50 and 116,256.60

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Solution

The fourth proportional to 305,840.79, 458,761.50 and 116,256.60 is: 174,385.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,840.79 : 458,761.50 = 116,256.60 : x
  2. Step 2: Convert to fraction form
    305,840.79/458,761.50 = 116,256.60/x
  3. Step 3: Cross multiply
    305,840.79x = 458,761.50 × 116,256.60
  4. Step 4: Simplify right side
    305,840.79x = 53,334,052,200.90
  5. Step 5: Solve for x
    x = 53,334,052,200.90/305,840.79
  6. Step 6: Final answer
    x = 174,385.02

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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.