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Finding the Fourth Proportional to 274,438.53, 410,993.40 and 189,962.01

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Solution

The fourth proportional to 274,438.53, 410,993.40 and 189,962.01 is: 284,483.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,438.53 : 410,993.40 = 189,962.01 : x
  2. Step 2: Convert to fraction form
    274,438.53/410,993.40 = 189,962.01/x
  3. Step 3: Cross multiply
    274,438.53x = 410,993.40 × 189,962.01
  4. Step 4: Simplify right side
    274,438.53x = 78,073,132,360.73
  5. Step 5: Solve for x
    x = 78,073,132,360.73/274,438.53
  6. Step 6: Final answer
    x = 284,483.13

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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.