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Finding the Fourth Proportional to 632,911.80, 873,442.31 and 361,023.96

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Solution

The fourth proportional to 632,911.80, 873,442.31 and 361,023.96 is: 498,226.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,911.80 : 873,442.31 = 361,023.96 : x
  2. Step 2: Convert to fraction form
    632,911.80/873,442.31 = 361,023.96/x
  3. Step 3: Cross multiply
    632,911.80x = 873,442.31 × 361,023.96
  4. Step 4: Simplify right side
    632,911.80x = 315,333,599,782.63
  5. Step 5: Solve for x
    x = 315,333,599,782.63/632,911.80
  6. Step 6: Final answer
    x = 498,226.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.