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Finding the Fourth Proportional to 274,017.06, 410,977.14 and 74,353.01

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Solution

The fourth proportional to 274,017.06, 410,977.14 and 74,353.01 is: 111,516.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,017.06 : 410,977.14 = 74,353.01 : x
  2. Step 2: Convert to fraction form
    274,017.06/410,977.14 = 74,353.01/x
  3. Step 3: Cross multiply
    274,017.06x = 410,977.14 × 74,353.01
  4. Step 4: Simplify right side
    274,017.06x = 30,557,385,345.31
  5. Step 5: Solve for x
    x = 30,557,385,345.31/274,017.06
  6. Step 6: Final answer
    x = 111,516.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.