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Finding the Fourth Proportional to 437,865.12, 656,825.42 and 185,098.50

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Solution

The fourth proportional to 437,865.12, 656,825.42 and 185,098.50 is: 277,659.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,865.12 : 656,825.42 = 185,098.50 : x
  2. Step 2: Convert to fraction form
    437,865.12/656,825.42 = 185,098.50/x
  3. Step 3: Cross multiply
    437,865.12x = 656,825.42 × 185,098.50
  4. Step 4: Simplify right side
    437,865.12x = 121,577,400,003.87
  5. Step 5: Solve for x
    x = 121,577,400,003.87/437,865.12
  6. Step 6: Final answer
    x = 277,659.48

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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.