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Finding the Fourth Proportional to 304,871.60, 457,825.80 and 226,074.80

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Solution

The fourth proportional to 304,871.60, 457,825.80 and 226,074.80 is: 339,496.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,871.60 : 457,825.80 = 226,074.80 : x
  2. Step 2: Convert to fraction form
    304,871.60/457,825.80 = 226,074.80/x
  3. Step 3: Cross multiply
    304,871.60x = 457,825.80 × 226,074.80
  4. Step 4: Simplify right side
    304,871.60x = 103,502,876,169.84
  5. Step 5: Solve for x
    x = 103,502,876,169.84/304,871.60
  6. Step 6: Final answer
    x = 339,496.61

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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.