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Finding the Fourth Proportional to 543,213.90, 814,816.80 and 164,133.90

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Solution

The fourth proportional to 543,213.90, 814,816.80 and 164,133.90 is: 246,199.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,213.90 : 814,816.80 = 164,133.90 : x
  2. Step 2: Convert to fraction form
    543,213.90/814,816.80 = 164,133.90/x
  3. Step 3: Cross multiply
    543,213.90x = 814,816.80 × 164,133.90
  4. Step 4: Simplify right side
    543,213.90x = 133,739,059,169.52
  5. Step 5: Solve for x
    x = 133,739,059,169.52/543,213.90
  6. Step 6: Final answer
    x = 246,199.63

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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.