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Finding the Fourth Proportional to 270,952.60, 406,428.90 and 164,664.40

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Solution

The fourth proportional to 270,952.60, 406,428.90 and 164,664.40 is: 246,996.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,952.60 : 406,428.90 = 164,664.40 : x
  2. Step 2: Convert to fraction form
    270,952.60/406,428.90 = 164,664.40/x
  3. Step 3: Cross multiply
    270,952.60x = 406,428.90 × 164,664.40
  4. Step 4: Simplify right side
    270,952.60x = 66,924,370,961.16
  5. Step 5: Solve for x
    x = 66,924,370,961.16/270,952.60
  6. Step 6: Final answer
    x = 246,996.60

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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.