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Finding the Fourth Proportional to 297,077.60, 445,419.60 and 164,021.60

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Solution

The fourth proportional to 297,077.60, 445,419.60 and 164,021.60 is: 245,923.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,077.60 : 445,419.60 = 164,021.60 : x
  2. Step 2: Convert to fraction form
    297,077.60/445,419.60 = 164,021.60/x
  3. Step 3: Cross multiply
    297,077.60x = 445,419.60 × 164,021.60
  4. Step 4: Simplify right side
    297,077.60x = 73,058,435,463.36
  5. Step 5: Solve for x
    x = 73,058,435,463.36/297,077.60
  6. Step 6: Final answer
    x = 245,923.74

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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.