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Finding the Fourth Proportional to 382,284.60, 573,542.10 and 271,692.60

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Solution

The fourth proportional to 382,284.60, 573,542.10 and 271,692.60 is: 407,620.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,284.60 : 573,542.10 = 271,692.60 : x
  2. Step 2: Convert to fraction form
    382,284.60/573,542.10 = 271,692.60/x
  3. Step 3: Cross multiply
    382,284.60x = 573,542.10 × 271,692.60
  4. Step 4: Simplify right side
    382,284.60x = 155,827,144,358.46
  5. Step 5: Solve for x
    x = 155,827,144,358.46/382,284.60
  6. Step 6: Final answer
    x = 407,620.77

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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.