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Finding the Fourth Proportional to 343,824.48, 515,736 and 193,996.80

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Solution

The fourth proportional to 343,824.48, 515,736 and 193,996.80 is: 290,994.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,824.48 : 515,736 = 193,996.80 : x
  2. Step 2: Convert to fraction form
    343,824.48/515,736 = 193,996.80/x
  3. Step 3: Cross multiply
    343,824.48x = 515,736 × 193,996.80
  4. Step 4: Simplify right side
    343,824.48x = 100,051,133,644.80
  5. Step 5: Solve for x
    x = 100,051,133,644.80/343,824.48
  6. Step 6: Final answer
    x = 290,994.79

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1.5x scale

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.