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Finding the Fourth Proportional to 432,865.60, 649,298.40 and 273,433.30

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Solution

The fourth proportional to 432,865.60, 649,298.40 and 273,433.30 is: 410,149.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,865.60 : 649,298.40 = 273,433.30 : x
  2. Step 2: Convert to fraction form
    432,865.60/649,298.40 = 273,433.30/x
  3. Step 3: Cross multiply
    432,865.60x = 649,298.40 × 273,433.30
  4. Step 4: Simplify right side
    432,865.60x = 177,539,804,196.72
  5. Step 5: Solve for x
    x = 177,539,804,196.72/432,865.60
  6. Step 6: Final answer
    x = 410,149.95

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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.