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Finding the Fourth Proportional to 309,298.50, 463,947.75 and 75,826.50

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Solution

The fourth proportional to 309,298.50, 463,947.75 and 75,826.50 is: 113,739.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,298.50 : 463,947.75 = 75,826.50 : x
  2. Step 2: Convert to fraction form
    309,298.50/463,947.75 = 75,826.50/x
  3. Step 3: Cross multiply
    309,298.50x = 463,947.75 × 75,826.50
  4. Step 4: Simplify right side
    309,298.50x = 35,179,534,065.38
  5. Step 5: Solve for x
    x = 35,179,534,065.38/309,298.50
  6. Step 6: Final answer
    x = 113,739.75

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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.