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Finding the Fourth Proportional to 414,543.52, 621,815.30 and 134,060.80

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Solution

The fourth proportional to 414,543.52, 621,815.30 and 134,060.80 is: 201,091.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,543.52 : 621,815.30 = 134,060.80 : x
  2. Step 2: Convert to fraction form
    414,543.52/621,815.30 = 134,060.80/x
  3. Step 3: Cross multiply
    414,543.52x = 621,815.30 × 134,060.80
  4. Step 4: Simplify right side
    414,543.52x = 83,361,056,570.24
  5. Step 5: Solve for x
    x = 83,361,056,570.24/414,543.52
  6. Step 6: Final answer
    x = 201,091.21

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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.