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Finding the Fourth Proportional to 315,404.20, 472,328.70 and 209,650.60

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Solution

The fourth proportional to 315,404.20, 472,328.70 and 209,650.60 is: 313,959.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,404.20 : 472,328.70 = 209,650.60 : x
  2. Step 2: Convert to fraction form
    315,404.20/472,328.70 = 209,650.60/x
  3. Step 3: Cross multiply
    315,404.20x = 472,328.70 × 209,650.60
  4. Step 4: Simplify right side
    315,404.20x = 99,023,995,352.22
  5. Step 5: Solve for x
    x = 99,023,995,352.22/315,404.20
  6. Step 6: Final answer
    x = 313,959.03

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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.