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Finding the Fourth Proportional to 275,423.40, 413,135.10 and 149,452.20

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Solution

The fourth proportional to 275,423.40, 413,135.10 and 149,452.20 is: 224,178.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,423.40 : 413,135.10 = 149,452.20 : x
  2. Step 2: Convert to fraction form
    275,423.40/413,135.10 = 149,452.20/x
  3. Step 3: Cross multiply
    275,423.40x = 413,135.10 × 149,452.20
  4. Step 4: Simplify right side
    275,423.40x = 61,743,949,592.22
  5. Step 5: Solve for x
    x = 61,743,949,592.22/275,423.40
  6. Step 6: Final answer
    x = 224,178.30

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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.