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Finding the Fourth Proportional to 335,136.48, 462,489.84 and 184,243.20

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Solution

The fourth proportional to 335,136.48, 462,489.84 and 184,243.20 is: 254,256.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,136.48 : 462,489.84 = 184,243.20 : x
  2. Step 2: Convert to fraction form
    335,136.48/462,489.84 = 184,243.20/x
  3. Step 3: Cross multiply
    335,136.48x = 462,489.84 × 184,243.20
  4. Step 4: Simplify right side
    335,136.48x = 85,210,608,089.09
  5. Step 5: Solve for x
    x = 85,210,608,089.09/335,136.48
  6. Step 6: Final answer
    x = 254,256.44

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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.