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Finding the Fourth Proportional to 462,189.60, 694,450.80 and 293,790.60

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Solution

The fourth proportional to 462,189.60, 694,450.80 and 293,790.60 is: 441,427.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,189.60 : 694,450.80 = 293,790.60 : x
  2. Step 2: Convert to fraction form
    462,189.60/694,450.80 = 293,790.60/x
  3. Step 3: Cross multiply
    462,189.60x = 694,450.80 × 293,790.60
  4. Step 4: Simplify right side
    462,189.60x = 204,023,117,202.48
  5. Step 5: Solve for x
    x = 204,023,117,202.48/462,189.60
  6. Step 6: Final answer
    x = 441,427.32

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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.