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Finding the Fourth Proportional to 297,044.25, 445,592.57 and 83,814.03

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Solution

The fourth proportional to 297,044.25, 445,592.57 and 83,814.03 is: 125,728.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,044.25 : 445,592.57 = 83,814.03 : x
  2. Step 2: Convert to fraction form
    297,044.25/445,592.57 = 83,814.03/x
  3. Step 3: Cross multiply
    297,044.25x = 445,592.57 × 83,814.03
  4. Step 4: Simplify right side
    297,044.25x = 37,346,909,029.76
  5. Step 5: Solve for x
    x = 37,346,909,029.76/297,044.25
  6. Step 6: Final answer
    x = 125,728.44

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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.