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Finding the Fourth Proportional to 294,771.60, 441,703.80 and 219,538.80

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Solution

The fourth proportional to 294,771.60, 441,703.80 and 219,538.80 is: 328,970.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,771.60 : 441,703.80 = 219,538.80 : x
  2. Step 2: Convert to fraction form
    294,771.60/441,703.80 = 219,538.80/x
  3. Step 3: Cross multiply
    294,771.60x = 441,703.80 × 219,538.80
  4. Step 4: Simplify right side
    294,771.60x = 96,971,122,207.44
  5. Step 5: Solve for x
    x = 96,971,122,207.44/294,771.60
  6. Step 6: Final answer
    x = 328,970.37

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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.