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Finding the Fourth Proportional to 541,145.88, 810,832.26 and 288,157.76

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Solution

The fourth proportional to 541,145.88, 810,832.26 and 288,157.76 is: 431,764.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,145.88 : 810,832.26 = 288,157.76 : x
  2. Step 2: Convert to fraction form
    541,145.88/810,832.26 = 288,157.76/x
  3. Step 3: Cross multiply
    541,145.88x = 810,832.26 × 288,157.76
  4. Step 4: Simplify right side
    541,145.88x = 233,647,607,777.34
  5. Step 5: Solve for x
    x = 233,647,607,777.34/541,145.88
  6. Step 6: Final answer
    x = 431,764.55

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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.