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Finding the Fourth Proportional to 382,208.70, 573,313.05 and 329,720.70

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Solution

The fourth proportional to 382,208.70, 573,313.05 and 329,720.70 is: 494,581.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,208.70 : 573,313.05 = 329,720.70 : x
  2. Step 2: Convert to fraction form
    382,208.70/573,313.05 = 329,720.70/x
  3. Step 3: Cross multiply
    382,208.70x = 573,313.05 × 329,720.70
  4. Step 4: Simplify right side
    382,208.70x = 189,033,180,165.14
  5. Step 5: Solve for x
    x = 189,033,180,165.14/382,208.70
  6. Step 6: Final answer
    x = 494,581.05

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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.