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Finding the Fourth Proportional to 413,514.30, 620,271.45 and 133,059.90

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Solution

The fourth proportional to 413,514.30, 620,271.45 and 133,059.90 is: 199,589.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,514.30 : 620,271.45 = 133,059.90 : x
  2. Step 2: Convert to fraction form
    413,514.30/620,271.45 = 133,059.90/x
  3. Step 3: Cross multiply
    413,514.30x = 620,271.45 × 133,059.90
  4. Step 4: Simplify right side
    413,514.30x = 82,533,257,109.86
  5. Step 5: Solve for x
    x = 82,533,257,109.86/413,514.30
  6. Step 6: Final answer
    x = 199,589.85

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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.