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Finding the Fourth Proportional to 414,513.26, 621,783.21 and 114,996.86

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Solution

The fourth proportional to 414,513.26, 621,783.21 and 114,996.86 is: 172,498.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,513.26 : 621,783.21 = 114,996.86 : x
  2. Step 2: Convert to fraction form
    414,513.26/621,783.21 = 114,996.86/x
  3. Step 3: Cross multiply
    414,513.26x = 621,783.21 × 114,996.86
  4. Step 4: Simplify right side
    414,513.26x = 71,503,116,750.72
  5. Step 5: Solve for x
    x = 71,503,116,750.72/414,513.26
  6. Step 6: Final answer
    x = 172,498.99

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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.