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Finding the Fourth Proportional to 513,777.44, 770,837.32 and 172,254.66

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Solution

The fourth proportional to 513,777.44, 770,837.32 and 172,254.66 is: 258,439.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,777.44 : 770,837.32 = 172,254.66 : x
  2. Step 2: Convert to fraction form
    513,777.44/770,837.32 = 172,254.66/x
  3. Step 3: Cross multiply
    513,777.44x = 770,837.32 × 172,254.66
  4. Step 4: Simplify right side
    513,777.44x = 132,780,322,047.77
  5. Step 5: Solve for x
    x = 132,780,322,047.77/513,777.44
  6. Step 6: Final answer
    x = 258,439.38

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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.