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Finding the Fourth Proportional to 438,469.60, 657,704.40 and 202,273.60

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Solution

The fourth proportional to 438,469.60, 657,704.40 and 202,273.60 is: 303,410.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,469.60 : 657,704.40 = 202,273.60 : x
  2. Step 2: Convert to fraction form
    438,469.60/657,704.40 = 202,273.60/x
  3. Step 3: Cross multiply
    438,469.60x = 657,704.40 × 202,273.60
  4. Step 4: Simplify right side
    438,469.60x = 133,036,236,723.84
  5. Step 5: Solve for x
    x = 133,036,236,723.84/438,469.60
  6. Step 6: Final answer
    x = 303,410.40

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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.