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Finding the Fourth Proportional to 315,025.80, 472,538.70 and 287,469.60

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Solution

The fourth proportional to 315,025.80, 472,538.70 and 287,469.60 is: 431,204.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,025.80 : 472,538.70 = 287,469.60 : x
  2. Step 2: Convert to fraction form
    315,025.80/472,538.70 = 287,469.60/x
  3. Step 3: Cross multiply
    315,025.80x = 472,538.70 × 287,469.60
  4. Step 4: Simplify right side
    315,025.80x = 135,840,511,073.52
  5. Step 5: Solve for x
    x = 135,840,511,073.52/315,025.80
  6. Step 6: Final answer
    x = 431,204.40

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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.