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Finding the Fourth Proportional to 632,455.70, 947,163.17 and 361,763.42

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Solution

The fourth proportional to 632,455.70, 947,163.17 and 361,763.42 is: 541,775.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,455.70 : 947,163.17 = 361,763.42 : x
  2. Step 2: Convert to fraction form
    632,455.70/947,163.17 = 361,763.42/x
  3. Step 3: Cross multiply
    632,455.70x = 947,163.17 × 361,763.42
  4. Step 4: Simplify right side
    632,455.70x = 342,648,983,845.83
  5. Step 5: Solve for x
    x = 342,648,983,845.83/632,455.70
  6. Step 6: Final answer
    x = 541,775.47

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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.