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Finding the Fourth Proportional to 353,249.80, 529,097.10 and 313,851.40

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Solution

The fourth proportional to 353,249.80, 529,097.10 and 313,851.40 is: 470,086.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,249.80 : 529,097.10 = 313,851.40 : x
  2. Step 2: Convert to fraction form
    353,249.80/529,097.10 = 313,851.40/x
  3. Step 3: Cross multiply
    353,249.80x = 529,097.10 × 313,851.40
  4. Step 4: Simplify right side
    353,249.80x = 166,057,865,570.94
  5. Step 5: Solve for x
    x = 166,057,865,570.94/353,249.80
  6. Step 6: Final answer
    x = 470,086.23

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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.