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Finding the Fourth Proportional to 338,884.68, 507,996.51 and 161,344.02

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Solution

The fourth proportional to 338,884.68, 507,996.51 and 161,344.02 is: 241,858.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,884.68 : 507,996.51 = 161,344.02 : x
  2. Step 2: Convert to fraction form
    338,884.68/507,996.51 = 161,344.02/x
  3. Step 3: Cross multiply
    338,884.68x = 507,996.51 × 161,344.02
  4. Step 4: Simplify right side
    338,884.68x = 81,962,199,069.37
  5. Step 5: Solve for x
    x = 81,962,199,069.37/338,884.68
  6. Step 6: Final answer
    x = 241,858.67

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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.