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Finding the Fourth Proportional to 294,867.76, 442,039.74 and 114,911.50

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Solution

The fourth proportional to 294,867.76, 442,039.74 and 114,911.50 is: 172,265.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,867.76 : 442,039.74 = 114,911.50 : x
  2. Step 2: Convert to fraction form
    294,867.76/442,039.74 = 114,911.50/x
  3. Step 3: Cross multiply
    294,867.76x = 442,039.74 × 114,911.50
  4. Step 4: Simplify right side
    294,867.76x = 50,795,449,583.01
  5. Step 5: Solve for x
    x = 50,795,449,583.01/294,867.76
  6. Step 6: Final answer
    x = 172,265.19

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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.