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Finding the Fourth Proportional to 274,797.68, 412,352.40 and 117,009.68

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Solution

The fourth proportional to 274,797.68, 412,352.40 and 117,009.68 is: 175,580.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,797.68 : 412,352.40 = 117,009.68 : x
  2. Step 2: Convert to fraction form
    274,797.68/412,352.40 = 117,009.68/x
  3. Step 3: Cross multiply
    274,797.68x = 412,352.40 × 117,009.68
  4. Step 4: Simplify right side
    274,797.68x = 48,249,222,371.23
  5. Step 5: Solve for x
    x = 48,249,222,371.23/274,797.68
  6. Step 6: Final answer
    x = 175,580.89

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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.