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Finding the Fourth Proportional to 294,772.60, 441,705.30 and 219,539.80

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Solution

The fourth proportional to 294,772.60, 441,705.30 and 219,539.80 is: 328,971.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,772.60 : 441,705.30 = 219,539.80 : x
  2. Step 2: Convert to fraction form
    294,772.60/441,705.30 = 219,539.80/x
  3. Step 3: Cross multiply
    294,772.60x = 441,705.30 × 219,539.80
  4. Step 4: Simplify right side
    294,772.60x = 96,971,893,220.94
  5. Step 5: Solve for x
    x = 96,971,893,220.94/294,772.60
  6. Step 6: Final answer
    x = 328,971.87

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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.