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Finding the Fourth Proportional to 304,816.60, 457,743.30 and 226,019.80

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Solution

The fourth proportional to 304,816.60, 457,743.30 and 226,019.80 is: 339,414.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,816.60 : 457,743.30 = 226,019.80 : x
  2. Step 2: Convert to fraction form
    304,816.60/457,743.30 = 226,019.80/x
  3. Step 3: Cross multiply
    304,816.60x = 457,743.30 × 226,019.80
  4. Step 4: Simplify right side
    304,816.60x = 103,459,049,117.34
  5. Step 5: Solve for x
    x = 103,459,049,117.34/304,816.60
  6. Step 6: Final answer
    x = 339,414.09

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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.