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Finding the Fourth Proportional to 338,399.56, 507,570.30 and 138,662.92

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Solution

The fourth proportional to 338,399.56, 507,570.30 and 138,662.92 is: 207,982.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,399.56 : 507,570.30 = 138,662.92 : x
  2. Step 2: Convert to fraction form
    338,399.56/507,570.30 = 138,662.92/x
  3. Step 3: Cross multiply
    338,399.56x = 507,570.30 × 138,662.92
  4. Step 4: Simplify right side
    338,399.56x = 70,381,179,903.28
  5. Step 5: Solve for x
    x = 70,381,179,903.28/338,399.56
  6. Step 6: Final answer
    x = 207,982.48

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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.