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Finding the Fourth Proportional to 333,276.80, 499,958.40 and 164,883.20

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Solution

The fourth proportional to 333,276.80, 499,958.40 and 164,883.20 is: 247,346.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,276.80 : 499,958.40 = 164,883.20 : x
  2. Step 2: Convert to fraction form
    333,276.80/499,958.40 = 164,883.20/x
  3. Step 3: Cross multiply
    333,276.80x = 499,958.40 × 164,883.20
  4. Step 4: Simplify right side
    333,276.80x = 82,434,740,858.88
  5. Step 5: Solve for x
    x = 82,434,740,858.88/333,276.80
  6. Step 6: Final answer
    x = 247,346.17

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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.