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Finding the Fourth Proportional to 269,412.40, 403,593.72 and 163,969.84

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Solution

The fourth proportional to 269,412.40, 403,593.72 and 163,969.84 is: 245,635.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,412.40 : 403,593.72 = 163,969.84 : x
  2. Step 2: Convert to fraction form
    269,412.40/403,593.72 = 163,969.84/x
  3. Step 3: Cross multiply
    269,412.40x = 403,593.72 × 163,969.84
  4. Step 4: Simplify right side
    269,412.40x = 66,177,197,693.40
  5. Step 5: Solve for x
    x = 66,177,197,693.40/269,412.40
  6. Step 6: Final answer
    x = 245,635.31

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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.