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Finding the Fourth Proportional to 274,472.10, 411,708.15 and 106,000.20

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Solution

The fourth proportional to 274,472.10, 411,708.15 and 106,000.20 is: 159,000.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,472.10 : 411,708.15 = 106,000.20 : x
  2. Step 2: Convert to fraction form
    274,472.10/411,708.15 = 106,000.20/x
  3. Step 3: Cross multiply
    274,472.10x = 411,708.15 × 106,000.20
  4. Step 4: Simplify right side
    274,472.10x = 43,641,146,241.63
  5. Step 5: Solve for x
    x = 43,641,146,241.63/274,472.10
  6. Step 6: Final answer
    x = 159,000.30

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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.