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Finding the Fourth Proportional to 432,577.56, 647,996.22 and 215,782.68

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Solution

The fourth proportional to 432,577.56, 647,996.22 and 215,782.68 is: 323,239.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,577.56 : 647,996.22 = 215,782.68 : x
  2. Step 2: Convert to fraction form
    432,577.56/647,996.22 = 215,782.68/x
  3. Step 3: Cross multiply
    432,577.56x = 647,996.22 × 215,782.68
  4. Step 4: Simplify right side
    432,577.56x = 139,826,360,981.47
  5. Step 5: Solve for x
    x = 139,826,360,981.47/432,577.56
  6. Step 6: Final answer
    x = 323,239.98

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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.