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Finding the Fourth Proportional to 432,855.60, 648,976.20 and 166,513.20

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Solution

The fourth proportional to 432,855.60, 648,976.20 and 166,513.20 is: 249,651.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,855.60 : 648,976.20 = 166,513.20 : x
  2. Step 2: Convert to fraction form
    432,855.60/648,976.20 = 166,513.20/x
  3. Step 3: Cross multiply
    432,855.60x = 648,976.20 × 166,513.20
  4. Step 4: Simplify right side
    432,855.60x = 108,063,103,785.84
  5. Step 5: Solve for x
    x = 108,063,103,785.84/432,855.60
  6. Step 6: Final answer
    x = 249,651.62

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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.