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Finding the Fourth Proportional to 397,488.44, 594,854.84 and 380,954.72

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Solution

The fourth proportional to 397,488.44, 594,854.84 and 380,954.72 is: 570,111.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,488.44 : 594,854.84 = 380,954.72 : x
  2. Step 2: Convert to fraction form
    397,488.44/594,854.84 = 380,954.72/x
  3. Step 3: Cross multiply
    397,488.44x = 594,854.84 × 380,954.72
  4. Step 4: Simplify right side
    397,488.44x = 226,612,761,452.37
  5. Step 5: Solve for x
    x = 226,612,761,452.37/397,488.44
  6. Step 6: Final answer
    x = 570,111.57

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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.