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Finding the Fourth Proportional to 290,842.84, 401,228.40 and 169,989.22

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Solution

The fourth proportional to 290,842.84, 401,228.40 and 169,989.22 is: 234,506.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,842.84 : 401,228.40 = 169,989.22 : x
  2. Step 2: Convert to fraction form
    290,842.84/401,228.40 = 169,989.22/x
  3. Step 3: Cross multiply
    290,842.84x = 401,228.40 × 169,989.22
  4. Step 4: Simplify right side
    290,842.84x = 68,204,502,757.85
  5. Step 5: Solve for x
    x = 68,204,502,757.85/290,842.84
  6. Step 6: Final answer
    x = 234,506.38

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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.