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Finding the Fourth Proportional to 382,429.60, 573,644.40 and 294,128.80

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Solution

The fourth proportional to 382,429.60, 573,644.40 and 294,128.80 is: 441,193.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,429.60 : 573,644.40 = 294,128.80 : x
  2. Step 2: Convert to fraction form
    382,429.60/573,644.40 = 294,128.80/x
  3. Step 3: Cross multiply
    382,429.60x = 573,644.40 × 294,128.80
  4. Step 4: Simplify right side
    382,429.60x = 168,725,338,998.72
  5. Step 5: Solve for x
    x = 168,725,338,998.72/382,429.60
  6. Step 6: Final answer
    x = 441,193.20

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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.