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Finding the Fourth Proportional to 294,213.60, 440,866.80 and 218,980.80

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Solution

The fourth proportional to 294,213.60, 440,866.80 and 218,980.80 is: 328,133.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,213.60 : 440,866.80 = 218,980.80 : x
  2. Step 2: Convert to fraction form
    294,213.60/440,866.80 = 218,980.80/x
  3. Step 3: Cross multiply
    294,213.60x = 440,866.80 × 218,980.80
  4. Step 4: Simplify right side
    294,213.60x = 96,541,364,557.44
  5. Step 5: Solve for x
    x = 96,541,364,557.44/294,213.60
  6. Step 6: Final answer
    x = 328,133.59

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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.