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Finding the Fourth Proportional to 447,001.44, 670,221.84 and 166,287.84

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Solution

The fourth proportional to 447,001.44, 670,221.84 and 166,287.84 is: 249,327.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,001.44 : 670,221.84 = 166,287.84 : x
  2. Step 2: Convert to fraction form
    447,001.44/670,221.84 = 166,287.84/x
  3. Step 3: Cross multiply
    447,001.44x = 670,221.84 × 166,287.84
  4. Step 4: Simplify right side
    447,001.44x = 111,449,742,094.43
  5. Step 5: Solve for x
    x = 111,449,742,094.43/447,001.44
  6. Step 6: Final answer
    x = 249,327.48

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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.