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Finding the Fourth Proportional to 204,901.60, 307,352.40 and 197,028.40

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Solution

The fourth proportional to 204,901.60, 307,352.40 and 197,028.40 is: 295,542.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,901.60 : 307,352.40 = 197,028.40 : x
  2. Step 2: Convert to fraction form
    204,901.60/307,352.40 = 197,028.40/x
  3. Step 3: Cross multiply
    204,901.60x = 307,352.40 × 197,028.40
  4. Step 4: Simplify right side
    204,901.60x = 60,557,151,608.16
  5. Step 5: Solve for x
    x = 60,557,151,608.16/204,901.60
  6. Step 6: Final answer
    x = 295,542.60

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1.5x scale

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.