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Finding the Fourth Proportional to 330,901.74, 496,164.29 and 225,847.98

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Solution

The fourth proportional to 330,901.74, 496,164.29 and 225,847.98 is: 338,643.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,901.74 : 496,164.29 = 225,847.98 : x
  2. Step 2: Convert to fraction form
    330,901.74/496,164.29 = 225,847.98/x
  3. Step 3: Cross multiply
    330,901.74x = 496,164.29 × 225,847.98
  4. Step 4: Simplify right side
    330,901.74x = 112,057,702,644.63
  5. Step 5: Solve for x
    x = 112,057,702,644.63/330,901.74
  6. Step 6: Final answer
    x = 338,643.44

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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.