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Finding the Fourth Proportional to 413,510.55, 620,265.83 and 133,056.15

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Solution

The fourth proportional to 413,510.55, 620,265.83 and 133,056.15 is: 199,584.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,510.55 : 620,265.83 = 133,056.15 : x
  2. Step 2: Convert to fraction form
    413,510.55/620,265.83 = 133,056.15/x
  3. Step 3: Cross multiply
    413,510.55x = 620,265.83 × 133,056.15
  4. Step 4: Simplify right side
    413,510.55x = 82,530,182,651.07
  5. Step 5: Solve for x
    x = 82,530,182,651.07/413,510.55
  6. Step 6: Final answer
    x = 199,584.23

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Similar ratio
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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.