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Finding the Fourth Proportional to 601,471.73, 901,642.46 and 201,832.22

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Solution

The fourth proportional to 601,471.73, 901,642.46 and 201,832.22 is: 302,558.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,471.73 : 901,642.46 = 201,832.22 : x
  2. Step 2: Convert to fraction form
    601,471.73/901,642.46 = 201,832.22/x
  3. Step 3: Cross multiply
    601,471.73x = 901,642.46 × 201,832.22
  4. Step 4: Simplify right side
    601,471.73x = 181,980,493,830.69
  5. Step 5: Solve for x
    x = 181,980,493,830.69/601,471.73
  6. Step 6: Final answer
    x = 302,558.68

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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.