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Finding the Fourth Proportional to 297,100.60, 445,454.10 and 164,044.60

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Solution

The fourth proportional to 297,100.60, 445,454.10 and 164,044.60 is: 245,958.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,100.60 : 445,454.10 = 164,044.60 : x
  2. Step 2: Convert to fraction form
    297,100.60/445,454.10 = 164,044.60/x
  3. Step 3: Cross multiply
    297,100.60x = 445,454.10 × 164,044.60
  4. Step 4: Simplify right side
    297,100.60x = 73,074,339,652.86
  5. Step 5: Solve for x
    x = 73,074,339,652.86/297,100.60
  6. Step 6: Final answer
    x = 245,958.24

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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.