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Finding the Fourth Proportional to 413,525.90, 620,396.85 and 133,049.90

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Solution

The fourth proportional to 413,525.90, 620,396.85 and 133,049.90 is: 199,609.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,525.90 : 620,396.85 = 133,049.90 : x
  2. Step 2: Convert to fraction form
    413,525.90/620,396.85 = 133,049.90/x
  3. Step 3: Cross multiply
    413,525.90x = 620,396.85 × 133,049.90
  4. Step 4: Simplify right side
    413,525.90x = 82,543,738,852.82
  5. Step 5: Solve for x
    x = 82,543,738,852.82/413,525.90
  6. Step 6: Final answer
    x = 199,609.60

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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.