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Finding the Fourth Proportional to 304,811.60, 457,735.80 and 226,014.80

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Solution

The fourth proportional to 304,811.60, 457,735.80 and 226,014.80 is: 339,406.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,811.60 : 457,735.80 = 226,014.80 : x
  2. Step 2: Convert to fraction form
    304,811.60/457,735.80 = 226,014.80/x
  3. Step 3: Cross multiply
    304,811.60x = 457,735.80 × 226,014.80
  4. Step 4: Simplify right side
    304,811.60x = 103,455,065,289.84
  5. Step 5: Solve for x
    x = 103,455,065,289.84/304,811.60
  6. Step 6: Final answer
    x = 339,406.59

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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.