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Finding the Fourth Proportional to 389,638.70, 584,458.05 and 140,288.30

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Solution

The fourth proportional to 389,638.70, 584,458.05 and 140,288.30 is: 210,432.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,638.70 : 584,458.05 = 140,288.30 : x
  2. Step 2: Convert to fraction form
    389,638.70/584,458.05 = 140,288.30/x
  3. Step 3: Cross multiply
    389,638.70x = 584,458.05 × 140,288.30
  4. Step 4: Simplify right side
    389,638.70x = 81,992,626,255.82
  5. Step 5: Solve for x
    x = 81,992,626,255.82/389,638.70
  6. Step 6: Final answer
    x = 210,432.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.