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Finding the Fourth Proportional to 274,406.34, 411,609.49 and 180,890.22

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Solution

The fourth proportional to 274,406.34, 411,609.49 and 180,890.22 is: 271,335.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,406.34 : 411,609.49 = 180,890.22 : x
  2. Step 2: Convert to fraction form
    274,406.34/411,609.49 = 180,890.22/x
  3. Step 3: Cross multiply
    274,406.34x = 411,609.49 × 180,890.22
  4. Step 4: Simplify right side
    274,406.34x = 74,456,131,200.19
  5. Step 5: Solve for x
    x = 74,456,131,200.19/274,406.34
  6. Step 6: Final answer
    x = 271,335.32

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1.5x scale

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.