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Finding the Fourth Proportional to 474,843.36, 712,321.26 and 297,365.04

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Solution

The fourth proportional to 474,843.36, 712,321.26 and 297,365.04 is: 446,082.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,843.36 : 712,321.26 = 297,365.04 : x
  2. Step 2: Convert to fraction form
    474,843.36/712,321.26 = 297,365.04/x
  3. Step 3: Cross multiply
    474,843.36x = 712,321.26 × 297,365.04
  4. Step 4: Simplify right side
    474,843.36x = 211,819,439,972.75
  5. Step 5: Solve for x
    x = 211,819,439,972.75/474,843.36
  6. Step 6: Final answer
    x = 446,082.77

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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.