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Finding the Fourth Proportional to 329,041.40, 493,562.10 and 222,753.20

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Solution

The fourth proportional to 329,041.40, 493,562.10 and 222,753.20 is: 334,129.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,041.40 : 493,562.10 = 222,753.20 : x
  2. Step 2: Convert to fraction form
    329,041.40/493,562.10 = 222,753.20/x
  3. Step 3: Cross multiply
    329,041.40x = 493,562.10 × 222,753.20
  4. Step 4: Simplify right side
    329,041.40x = 109,942,537,173.72
  5. Step 5: Solve for x
    x = 109,942,537,173.72/329,041.40
  6. Step 6: Final answer
    x = 334,129.80

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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.