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Finding the Fourth Proportional to 338,533.02, 507,806.82 and 161,057.97

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Solution

The fourth proportional to 338,533.02, 507,806.82 and 161,057.97 is: 241,590.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,533.02 : 507,806.82 = 161,057.97 : x
  2. Step 2: Convert to fraction form
    338,533.02/507,806.82 = 161,057.97/x
  3. Step 3: Cross multiply
    338,533.02x = 507,806.82 × 161,057.97
  4. Step 4: Simplify right side
    338,533.02x = 81,786,335,581.36
  5. Step 5: Solve for x
    x = 81,786,335,581.36/338,533.02
  6. Step 6: Final answer
    x = 241,590.42

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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.