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Finding the Fourth Proportional to 329,051.40, 493,577.10 and 222,763.20

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Solution

The fourth proportional to 329,051.40, 493,577.10 and 222,763.20 is: 334,144.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,051.40 : 493,577.10 = 222,763.20 : x
  2. Step 2: Convert to fraction form
    329,051.40/493,577.10 = 222,763.20/x
  3. Step 3: Cross multiply
    329,051.40x = 493,577.10 × 222,763.20
  4. Step 4: Simplify right side
    329,051.40x = 109,950,814,242.72
  5. Step 5: Solve for x
    x = 109,950,814,242.72/329,051.40
  6. Step 6: Final answer
    x = 334,144.80

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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.