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Finding the Fourth Proportional to 297,044.16, 445,592.43 and 83,813.96

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Solution

The fourth proportional to 297,044.16, 445,592.43 and 83,813.96 is: 125,728.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,044.16 : 445,592.43 = 83,813.96 : x
  2. Step 2: Convert to fraction form
    297,044.16/445,592.43 = 83,813.96/x
  3. Step 3: Cross multiply
    297,044.16x = 445,592.43 × 83,813.96
  4. Step 4: Simplify right side
    297,044.16x = 37,346,866,104.32
  5. Step 5: Solve for x
    x = 37,346,866,104.32/297,044.16
  6. Step 6: Final answer
    x = 125,728.33

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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.