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Finding the Fourth Proportional to 309,947.66, 464,921.50 and 122,959.16

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Solution

The fourth proportional to 309,947.66, 464,921.50 and 122,959.16 is: 184,438.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,947.66 : 464,921.50 = 122,959.16 : x
  2. Step 2: Convert to fraction form
    309,947.66/464,921.50 = 122,959.16/x
  3. Step 3: Cross multiply
    309,947.66x = 464,921.50 × 122,959.16
  4. Step 4: Simplify right side
    309,947.66x = 57,166,357,105.94
  5. Step 5: Solve for x
    x = 57,166,357,105.94/309,947.66
  6. Step 6: Final answer
    x = 184,438.74

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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.