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Finding the Fourth Proportional to 543,165.24, 814,255.38 and 293,555.64

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Solution

The fourth proportional to 543,165.24, 814,255.38 and 293,555.64 is: 440,067.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,165.24 : 814,255.38 = 293,555.64 : x
  2. Step 2: Convert to fraction form
    543,165.24/814,255.38 = 293,555.64/x
  3. Step 3: Cross multiply
    543,165.24x = 814,255.38 × 293,555.64
  4. Step 4: Simplify right side
    543,165.24x = 239,029,259,199.34
  5. Step 5: Solve for x
    x = 239,029,259,199.34/543,165.24
  6. Step 6: Final answer
    x = 440,067.30

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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.