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Finding the Fourth Proportional to 283,999.10, 425,636.85 and 150,943.10

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Solution

The fourth proportional to 283,999.10, 425,636.85 and 150,943.10 is: 226,222.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,999.10 : 425,636.85 = 150,943.10 : x
  2. Step 2: Convert to fraction form
    283,999.10/425,636.85 = 150,943.10/x
  3. Step 3: Cross multiply
    283,999.10x = 425,636.85 × 150,943.10
  4. Step 4: Simplify right side
    283,999.10x = 64,246,945,613.24
  5. Step 5: Solve for x
    x = 64,246,945,613.24/283,999.10
  6. Step 6: Final answer
    x = 226,222.36

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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.