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Finding the Fourth Proportional to 297,058.85, 445,614.56 and 83,828.64

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Solution

The fourth proportional to 297,058.85, 445,614.56 and 83,828.64 is: 125,750.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,058.85 : 445,614.56 = 83,828.64 : x
  2. Step 2: Convert to fraction form
    297,058.85/445,614.56 = 83,828.64/x
  3. Step 3: Cross multiply
    297,058.85x = 445,614.56 × 83,828.64
  4. Step 4: Simplify right side
    297,058.85x = 37,355,262,529.00
  5. Step 5: Solve for x
    x = 37,355,262,529.00/297,058.85
  6. Step 6: Final answer
    x = 125,750.38

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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.