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Finding the Fourth Proportional to 400,627.20, 601,329.60 and 201,172.80

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Solution

The fourth proportional to 400,627.20, 601,329.60 and 201,172.80 is: 301,954.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,627.20 : 601,329.60 = 201,172.80 : x
  2. Step 2: Convert to fraction form
    400,627.20/601,329.60 = 201,172.80/x
  3. Step 3: Cross multiply
    400,627.20x = 601,329.60 × 201,172.80
  4. Step 4: Simplify right side
    400,627.20x = 120,971,159,354.88
  5. Step 5: Solve for x
    x = 120,971,159,354.88/400,627.20
  6. Step 6: Final answer
    x = 301,954.43

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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.