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Finding the Fourth Proportional to 353,147.40, 529,721.10 and 313,489.80

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Solution

The fourth proportional to 353,147.40, 529,721.10 and 313,489.80 is: 470,234.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,147.40 : 529,721.10 = 313,489.80 : x
  2. Step 2: Convert to fraction form
    353,147.40/529,721.10 = 313,489.80/x
  3. Step 3: Cross multiply
    353,147.40x = 529,721.10 × 313,489.80
  4. Step 4: Simplify right side
    353,147.40x = 166,062,161,694.78
  5. Step 5: Solve for x
    x = 166,062,161,694.78/353,147.40
  6. Step 6: Final answer
    x = 470,234.70

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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.