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Finding the Fourth Proportional to 513,094.12, 707,611.38 and 322,125.32

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Solution

The fourth proportional to 513,094.12, 707,611.38 and 322,125.32 is: 444,245.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,094.12 : 707,611.38 = 322,125.32 : x
  2. Step 2: Convert to fraction form
    513,094.12/707,611.38 = 322,125.32/x
  3. Step 3: Cross multiply
    513,094.12x = 707,611.38 × 322,125.32
  4. Step 4: Simplify right side
    513,094.12x = 227,939,542,218.14
  5. Step 5: Solve for x
    x = 227,939,542,218.14/513,094.12
  6. Step 6: Final answer
    x = 444,245.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.