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Finding the Fourth Proportional to 334,469.60, 501,704.40 and 201,759.20

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Solution

The fourth proportional to 334,469.60, 501,704.40 and 201,759.20 is: 302,638.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,469.60 : 501,704.40 = 201,759.20 : x
  2. Step 2: Convert to fraction form
    334,469.60/501,704.40 = 201,759.20/x
  3. Step 3: Cross multiply
    334,469.60x = 501,704.40 × 201,759.20
  4. Step 4: Simplify right side
    334,469.60x = 101,223,478,380.48
  5. Step 5: Solve for x
    x = 101,223,478,380.48/334,469.60
  6. Step 6: Final answer
    x = 302,638.80

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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.