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Finding the Fourth Proportional to 315,427.20, 472,363.20 and 209,673.60

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Solution

The fourth proportional to 315,427.20, 472,363.20 and 209,673.60 is: 313,993.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,427.20 : 472,363.20 = 209,673.60 : x
  2. Step 2: Convert to fraction form
    315,427.20/472,363.20 = 209,673.60/x
  3. Step 3: Cross multiply
    315,427.20x = 472,363.20 × 209,673.60
  4. Step 4: Simplify right side
    315,427.20x = 99,042,092,651.52
  5. Step 5: Solve for x
    x = 99,042,092,651.52/315,427.20
  6. Step 6: Final answer
    x = 313,993.51

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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.