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Finding the Fourth Proportional to 320,220.74, 441,958.38 and 216,808.04

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Solution

The fourth proportional to 320,220.74, 441,958.38 and 216,808.04 is: 299,231.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,220.74 : 441,958.38 = 216,808.04 : x
  2. Step 2: Convert to fraction form
    320,220.74/441,958.38 = 216,808.04/x
  3. Step 3: Cross multiply
    320,220.74x = 441,958.38 × 216,808.04
  4. Step 4: Simplify right side
    320,220.74x = 95,820,130,129.38
  5. Step 5: Solve for x
    x = 95,820,130,129.38/320,220.74
  6. Step 6: Final answer
    x = 299,231.49

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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.