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Finding the Fourth Proportional to 432,063.90, 647,549.10 and 165,468.60

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Solution

The fourth proportional to 432,063.90, 647,549.10 and 165,468.60 is: 247,993.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,063.90 : 647,549.10 = 165,468.60 : x
  2. Step 2: Convert to fraction form
    432,063.90/647,549.10 = 165,468.60/x
  3. Step 3: Cross multiply
    432,063.90x = 647,549.10 × 165,468.60
  4. Step 4: Simplify right side
    432,063.90x = 107,149,043,008.26
  5. Step 5: Solve for x
    x = 107,149,043,008.26/432,063.90
  6. Step 6: Final answer
    x = 247,993.51

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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.