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Finding the Fourth Proportional to 421,805.90, 632,764.35 and 155,753.30

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Solution

The fourth proportional to 421,805.90, 632,764.35 and 155,753.30 is: 233,650.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,805.90 : 632,764.35 = 155,753.30 : x
  2. Step 2: Convert to fraction form
    421,805.90/632,764.35 = 155,753.30/x
  3. Step 3: Cross multiply
    421,805.90x = 632,764.35 × 155,753.30
  4. Step 4: Simplify right side
    421,805.90x = 98,555,135,634.86
  5. Step 5: Solve for x
    x = 98,555,135,634.86/421,805.90
  6. Step 6: Final answer
    x = 233,650.44

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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.