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Finding the Fourth Proportional to 269,459.40, 403,664.04 and 164,016.84

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Solution

The fourth proportional to 269,459.40, 403,664.04 and 164,016.84 is: 245,705.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,459.40 : 403,664.04 = 164,016.84 : x
  2. Step 2: Convert to fraction form
    269,459.40/403,664.04 = 164,016.84/x
  3. Step 3: Cross multiply
    269,459.40x = 403,664.04 × 164,016.84
  4. Step 4: Simplify right side
    269,459.40x = 66,207,700,262.43
  5. Step 5: Solve for x
    x = 66,207,700,262.43/269,459.40
  6. Step 6: Final answer
    x = 245,705.66

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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.