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Finding the Fourth Proportional to 315,398.20, 472,319.70 and 209,644.60

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Solution

The fourth proportional to 315,398.20, 472,319.70 and 209,644.60 is: 313,950.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,398.20 : 472,319.70 = 209,644.60 : x
  2. Step 2: Convert to fraction form
    315,398.20/472,319.70 = 209,644.60/x
  3. Step 3: Cross multiply
    315,398.20x = 472,319.70 × 209,644.60
  4. Step 4: Simplify right side
    315,398.20x = 99,019,274,578.62
  5. Step 5: Solve for x
    x = 99,019,274,578.62/315,398.20
  6. Step 6: Final answer
    x = 313,950.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.