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Finding the Fourth Proportional to 413,683.20, 620,524.80 and 133,200.45

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Solution

The fourth proportional to 413,683.20, 620,524.80 and 133,200.45 is: 199,800.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,683.20 : 620,524.80 = 133,200.45 : x
  2. Step 2: Convert to fraction form
    413,683.20/620,524.80 = 133,200.45/x
  3. Step 3: Cross multiply
    413,683.20x = 620,524.80 × 133,200.45
  4. Step 4: Simplify right side
    413,683.20x = 82,654,182,596.16
  5. Step 5: Solve for x
    x = 82,654,182,596.16/413,683.20
  6. Step 6: Final answer
    x = 199,800.68

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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.