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Finding the Fourth Proportional to 326,765.12, 489,879.84 and 116,283.20

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Solution

The fourth proportional to 326,765.12, 489,879.84 and 116,283.20 is: 174,329.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,765.12 : 489,879.84 = 116,283.20 : x
  2. Step 2: Convert to fraction form
    326,765.12/489,879.84 = 116,283.20/x
  3. Step 3: Cross multiply
    326,765.12x = 489,879.84 × 116,283.20
  4. Step 4: Simplify right side
    326,765.12x = 56,964,795,410.69
  5. Step 5: Solve for x
    x = 56,964,795,410.69/326,765.12
  6. Step 6: Final answer
    x = 174,329.49

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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.